401400400 has 60 divisors (see below), whose sum is σ = 995503744. Its totient is φ = 155376000.

The previous prime is 401400211. The next prime is 401400401. The reversal of 401400400 is 4004104.

It is a happy number.

401400400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401400400² = 322244562240320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401400401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3786 + ... + 28585.

Almost surely, 2^401400400 is an apocalyptic number.

401400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401400400 is an abundant number, since it is smaller than the sum of its proper divisors (594103344).

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

401400400 is a wasteful number, since it uses less digits than its factorization.

401400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32420 (or 32409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 401400400 is about 20034.9794110201. The cubic root of 401400400 is about 737.6651511786.

Adding to 401400400 its reverse (4004104), we get a palindrome (405404504).

The spelling of 401400400 in words is "four hundred one million, four hundred thousand, four hundred".