401314034400 has 72 divisors (see below), whose sum is σ = 1306277189784. Its totient is φ = 107017075200.

The previous prime is 401314034357. The next prime is 401314034411. The reversal of 401314034400 is 4430413104.

It is a super-2 number, since 2×401314034400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83604691 + ... + 83609490.

It is an arithmetic number, because the mean of its divisors is an integer number (18142738747).

Almost surely, 2^401314034400 is an apocalyptic number.

401314034400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401314034400 is an abundant number, since it is smaller than the sum of its proper divisors (904963155384).

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

401314034400 is a wasteful number, since it uses less digits than its factorization.

401314034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167214204 (or 167214191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 401314034400 its reverse (4430413104), we get a palindrome (405744447504).

The spelling of 401314034400 in words is "four hundred one billion, three hundred fourteen million, thirty-four thousand, four hundred".