401569415264 has 96 divisors (see below), whose sum is σ = 837561876480. Its totient is φ = 189211857408.

The previous prime is 401569415249. The next prime is 401569415267. The reversal of 401569415264 is 462514965104.

It is a super-2 number, since 2×401569415264² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401569415267) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15994529 + ... + 16019615.

It is an arithmetic number, because the mean of its divisors is an integer number (8724602880).

Almost surely, 2^401569415264 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 401569415264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418780938240).

401569415264 is an abundant number, since it is smaller than the sum of its proper divisors (435992461216).

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

401569415264 is a wasteful number, since it uses less digits than its factorization.

401569415264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25540 (or 25532 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 401569415264 in words is "four hundred one billion, five hundred sixty-nine million, four hundred fifteen thousand, two hundred sixty-four".