40769400672 has 576 divisors, whose sum is σ = 157290771456. Its totient is φ = 9672929280.

The previous prime is 40769400653. The next prime is 40769400701. The reversal of 40769400672 is 27600496704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29692978 + ... + 29694350.

It is an arithmetic number, because the mean of its divisors is an integer number (273074256).

Almost surely, 2^40769400672 is an apocalyptic number.

40769400672 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 40769400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78645385728).

40769400672 is an abundant number, since it is smaller than the sum of its proper divisors (116521370784).

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

40769400672 is a wasteful number, since it uses less digits than its factorization.

40769400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 40769400672 in words is "forty billion, seven hundred sixty-nine million, four hundred thousand, six hundred seventy-two".