40164640256 has 80 divisors (see below), whose sum is σ = 87006150000. Its totient is φ = 18412658688.

The previous prime is 40164640247. The next prime is 40164640259. The reversal of 40164640256 is 65204646104.

40164640256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40164640256² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164640259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971495 + ... + 1011993.

It is an arithmetic number, because the mean of its divisors is an integer number (1087576875).

Almost surely, 2^40164640256 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 40164640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43503075000).

40164640256 is an abundant number, since it is smaller than the sum of its proper divisors (46841509744).

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

40164640256 is a wasteful number, since it uses less digits than its factorization.

40164640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40679 (or 40663 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 40164640256 in words is "forty billion, one hundred sixty-four million, six hundred forty thousand, two hundred fifty-six".