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40761011040 = 2535531602241
BaseRepresentation
bin100101111101100010…
…111010101101100000
310220012201000220101120
4211331202322231200
51131434304323130
630420401532240
72642044606611
oct457542725540
9126181026346
1040761011040
1116317589992
127a96944080
133ac7933b59
141d896a7c08
1510d870b910
hex97d8bab60

40761011040 has 96 divisors (see below), whose sum is σ = 130819854816. Its totient is φ = 10664509440.

The previous prime is 40761011009. The next prime is 40761011047. The reversal of 40761011040 is 4011016704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×407610110402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40761011040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40761011047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775681 + ... + 826560.

It is an arithmetic number, because the mean of its divisors is an integer number (1362706821).

Almost surely, 240761011040 is an apocalyptic number.

40761011040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40761011040 is an abundant number, since it is smaller than the sum of its proper divisors (90058843776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40761011040 is a wasteful number, since it uses less digits than its factorization.

40761011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602312 (or 1602304 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 40761011040 its reverse (4011016704), we get a palindrome (44772027744).

The spelling of 40761011040 in words is "forty billion, seven hundred sixty-one million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 1602241 3204482 4806723 6408964 8011205 9613446 12817928 16022410 19226892 24033615 25635856 32044820 38453784 48067230 51271712 64089640 76907568 84918773 96134460 128179280 153815136 169837546 192268920 254756319 256358560 339675092 384537840 424593865 509512638 679350184 769075680 849187730 1019025276 1273781595 1358700368 1698375460 2038050552 2547563190 2717400736 3396750920 4076101104 5095126380 6793501840 8152202208 10190252760 13587003680 20380505520 40761011040