40692865752 has 384 divisors, whose sum is σ = 144267091200. Its totient is φ = 10509004800.

The previous prime is 40692865673. The next prime is 40692865777. The reversal of 40692865752 is 25756829604.

40692865752 is a `hidden beast` number, since 4 + 0 + 69 + 2 + 8 + 6 + 575 + 2 = 666.

It is a super-2 number, since 2×40692865752² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22468927 + ... + 22470737.

It is an arithmetic number, because the mean of its divisors is an integer number (375695550).

Almost surely, 2^40692865752 is an apocalyptic number.

40692865752 is a gapful number since it is divisible by the number (42) 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 40692865752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72133545600).

40692865752 is an abundant number, since it is smaller than the sum of its proper divisors (103574225448).

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

40692865752 is a wasteful number, since it uses less digits than its factorization.

40692865752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 40692865752 in words is "forty billion, six hundred ninety-two million, eight hundred sixty-five thousand, seven hundred fifty-two".