401255014400 has 84 divisors (see below), whose sum is σ = 995052206742. Its totient is φ = 160501923840.

The previous prime is 401255014367. The next prime is 401255014417. The reversal of 401255014400 is 4410552104.

It can be written as a sum of positive squares in 3 ways, for example, as 284148699136 + 117106315264 = 533056^2 + 342208^2 .

It is a super-2 number, since 2×401255014400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401255014400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 774827 + ... + 1184426.

Almost surely, 2^401255014400 is an apocalyptic number.

401255014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401255014400 is an abundant number, since it is smaller than the sum of its proper divisors (593797192342).

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

401255014400 is an equidigital number, since it uses as much as digits as its factorization.

401255014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959289 (or 1959260 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 401255014400 its reverse (4410552104), we get a palindrome (405665566504).

The spelling of 401255014400 in words is "four hundred one billion, two hundred fifty-five million, fourteen thousand, four hundred".