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40376626126240 = 2555926591608569
BaseRepresentation
bin10010010111000111010100…
…11101010001110110100000
312021221222010111102120100011
421023203222131101312200
520243012312242014430
6221512433241134304
711335054302226135
oct1113435235216640
9167858114376304
1040376626126240
11119576a3917128
12464131648a394
13196b665552071
149d834c26a58c
154a044e5a322a
hex24b8ea751da0

40376626126240 has 96 divisors (see below), whose sum is σ = 97043097816000. Its totient is φ = 15870929737728.

The previous prime is 40376626126231. The next prime is 40376626126261. The reversal of 40376626126240 is 4262162667304.

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, 24296676 + ... + 25905244.

It is an arithmetic number, because the mean of its divisors is an integer number (1010865602250).

Almost surely, 240376626126240 is an apocalyptic number.

40376626126240 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 40376626126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48521548908000).

40376626126240 is an abundant number, since it is smaller than the sum of its proper divisors (56666471689760).

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

40376626126240 is a wasteful number, since it uses less digits than its factorization.

40376626126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611302 (or 1611294 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 40376626126240 in words is "forty trillion, three hundred seventy-six billion, six hundred twenty-six million, one hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 2659 4720 5318 9440 10636 13295 21272 26590 42544 53180 85088 106360 156881 212720 313762 425440 627524 784405 1255048 1568810 1608569 2510096 3137620 3217138 5020192 6275240 6434276 8042845 12550480 12868552 16085690 25100960 25737104 32171380 51474208 64342760 94905571 128685520 189811142 257371040 379622284 474527855 759244568 949055710 1518489136 1898111420 3036978272 3796222840 4277184971 7592445680 8554369942 15184891360 17108739884 21385924855 34217479768 42771849710 68434959536 85543699420 136869919072 171087398840 252353913289 342174797680 504707826578 684349595360 1009415653156 1261769566445 2018831306312 2523539132890 4037662612624 5047078265780 8075325225248 10094156531560 20188313063120 40376626126240