40257976320 has 384 divisors, whose sum is σ = 148068648000. Its totient is φ = 10363207680.

The previous prime is 40257976309. The next prime is 40257976337. The reversal of 40257976320 is 2367975204.

40257976320 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 7 + 9 + 7 + 632 + 0 = 666.

40257976320 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8015410 + ... + 8020430.

Almost surely, 2^40257976320 is an apocalyptic number.

40257976320 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 40257976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74034324000).

40257976320 is an abundant number, since it is smaller than the sum of its proper divisors (107810671680).

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

40257976320 is a wasteful number, since it uses less digits than its factorization.

40257976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 40257976320 in words is "forty billion, two hundred fifty-seven million, nine hundred seventy-six thousand, three hundred twenty".