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40981077440 = 265316316547
BaseRepresentation
bin100110001010101010…
…011001110111000000
310220210001010102201222
4212022222121313000
51132412123434230
630454302414212
72650356260612
oct461252316700
9126701112658
1040981077440
111641a828046
127b38591368
133b313c5864
141daa9d0db2
1510ecbcb6e5
hex98aa99dc0

40981077440 has 112 divisors (see below), whose sum is σ = 100909185024. Its totient is φ = 15836083200.

The previous prime is 40981077437. The next prime is 40981077457. The reversal of 40981077440 is 4477018904.

It is a junction number, because it is equal to n+sod(n) for n = 40981077391 and 40981077400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6256247 + ... + 6262793.

Almost surely, 240981077440 is an apocalyptic number.

40981077440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40981077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50454592512).

40981077440 is an abundant number, since it is smaller than the sum of its proper divisors (59928107584).

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

40981077440 is a wasteful number, since it uses less digits than its factorization.

40981077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 40981077440 in words is "forty billion, nine hundred eighty-one million, seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 631 992 1240 1262 1984 2480 2524 3155 4960 5048 6310 6547 9920 10096 12620 13094 19561 20192 25240 26188 32735 39122 40384 50480 52376 65470 78244 97805 100960 104752 130940 156488 195610 201920 202957 209504 261880 312976 391220 405914 419008 523760 625952 782440 811828 1014785 1047520 1251904 1564880 1623656 2029570 2095040 3129760 3247312 4059140 4131157 6259520 6494624 8118280 8262314 12989248 16236560 16524628 20655785 32473120 33049256 41311570 64946240 66098512 82623140 128065867 132197024 165246280 256131734 264394048 330492560 512263468 640329335 660985120 1024526936 1280658670 1321970240 2049053872 2561317340 4098107744 5122634680 8196215488 10245269360 20490538720 40981077440