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40902261376 = 277925715739
BaseRepresentation
bin100110000101111101…
…101111101010000000
310220120112211011102111
4212011331233222000
51132231434331001
630442405225104
72645411325304
oct460575575200
9126515734374
1040902261376
111638a2953a9
127b16102194
133b1ac8b332
141da0355d04
1510e5d0d851
hex985f6fa80

40902261376 has 64 divisors (see below), whose sum is σ = 82842768000. Its totient is φ = 20112408576.

The previous prime is 40902261349. The next prime is 40902261401. The reversal of 40902261376 is 67316220904.

It is a happy number.

40902261376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2590915 + ... + 2606653.

It is an arithmetic number, because the mean of its divisors is an integer number (1294418250).

Almost surely, 240902261376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40902261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41421384000).

40902261376 is an abundant number, since it is smaller than the sum of its proper divisors (41940506624).

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

40902261376 is a wasteful number, since it uses less digits than its factorization.

40902261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16089 (or 16077 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 40902261376 in words is "forty billion, nine hundred two million, two hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 257 316 514 632 1028 1264 2056 2528 4112 5056 8224 10112 15739 16448 20303 31478 32896 40606 62956 81212 125912 162424 251824 324848 503648 649696 1007296 1243381 1299392 2014592 2486762 2598784 4044923 4973524 8089846 9947048 16179692 19894096 32359384 39788192 64718768 79576384 129437536 159152768 258875072 319548917 517750144 639097834 1278195668 2556391336 5112782672 10225565344 20451130688 40902261376