401064162400 has 144 divisors (see below), whose sum is σ = 1078091622720. Its totient is φ = 144478169600.

The previous prime is 401064162379. The next prime is 401064162481. The reversal of 401064162400 is 4261460104.

It is a super-2 number, since 2×401064162400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728631 + ... + 1154569.

It is an arithmetic number, because the mean of its divisors is an integer number (7486747380).

Almost surely, 2^401064162400 is an apocalyptic number.

401064162400 is a gapful number since it is divisible by the number (40) 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 401064162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539045811360).

401064162400 is an abundant number, since it is smaller than the sum of its proper divisors (677027460320).

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

401064162400 is a wasteful number, since it uses less digits than its factorization.

401064162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426077 (or 426064 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 401064162400 in words is "four hundred one billion, sixty-four million, one hundred sixty-two thousand, four hundred".