40257373963392 has 640 divisors, whose sum is σ = 139334999126400. Its totient is φ = 11444798914560.

The previous prime is 40257373963363. The next prime is 40257373963441. The reversal of 40257373963392 is 29336937375204.

40257373963392 is a `hidden beast` number, since 4 + 0 + 25 + 73 + 73 + 96 + 3 + 392 = 666.

It is a super-2 number, since 2×40257373963392² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76762542 + ... + 77285202.

It is an arithmetic number, because the mean of its divisors is an integer number (217710936135).

Almost surely, 2^{40257373963392} 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 40257373963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69667499563200).

40257373963392 is an abundant number, since it is smaller than the sum of its proper divisors (99077625163008).

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

40257373963392 is a wasteful number, since it uses less digits than its factorization.

40257373963392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522746 (or 522725 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 63.

The spelling of 40257373963392 in words is "forty trillion, two hundred fifty-seven billion, three hundred seventy-three million, nine hundred sixty-three thousand, three hundred ninety-two".