40657431760 has 160 divisors (see below), whose sum is σ = 104828826240. Its totient is φ = 14541004800.

The previous prime is 40657431721. The next prime is 40657431769. The reversal of 40657431760 is 6713475604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40657431769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31541196 + ... + 31542484.

It is an arithmetic number, because the mean of its divisors is an integer number (655180164).

Almost surely, 2^40657431760 is an apocalyptic number.

40657431760 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 40657431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52414413120).

40657431760 is an abundant number, since it is smaller than the sum of its proper divisors (64171394480).

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

40657431760 is a wasteful number, since it uses less digits than its factorization.

40657431760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 40657431760 in words is "forty billion, six hundred fifty-seven million, four hundred thirty-one thousand, seven hundred sixty".