40857763392 has 336 divisors, whose sum is σ = 125654360832. Its totient is φ = 13155125760.

The previous prime is 40857763357. The next prime is 40857763409. The reversal of 40857763392 is 29336775804.

40857763392 is a `hidden beast` number, since 4 + 0 + 8 + 577 + 63 + 3 + 9 + 2 = 666.

40857763392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71554467 + ... + 71555037.

It is an arithmetic number, because the mean of its divisors is an integer number (373971312).

Almost surely, 2^40857763392 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 40857763392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62827180416).

40857763392 is an abundant number, since it is smaller than the sum of its proper divisors (84796597440).

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

40857763392 is a wasteful number, since it uses less digits than its factorization.

40857763392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

It can be divided in two parts, 408577 and 63392, that added together give a square (471969 = 687²).

The spelling of 40857763392 in words is "forty billion, eight hundred fifty-seven million, seven hundred sixty-three thousand, three hundred ninety-two".