401294659584 has 416 divisors, whose sum is σ = 1349182727424. Its totient is φ = 103242792960.

The previous prime is 401294659561. The next prime is 401294659669. The reversal of 401294659584 is 485956492104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×401294659584² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45842152 + ... + 45850904.

Almost surely, 2^401294659584 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 401294659584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674591363712).

401294659584 is an abundant number, since it is smaller than the sum of its proper divisors (947888067840).

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

401294659584 is a wasteful number, since it uses less digits than its factorization.

401294659584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 401294659584 in words is "four hundred one billion, two hundred ninety-four million, six hundred fifty-nine thousand, five hundred eighty-four".