402442431220400 has 30 divisors (see below), whose sum is σ = 966867941007972. Its totient is φ = 160976972488000.

The previous prime is 402442431220369. The next prime is 402442431220411. The reversal of 402442431220400 is 4022134244204.

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, 503053038626 + ... + 503053039425.

Almost surely, 2^{402442431220400} is an apocalyptic number.

402442431220400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402442431220400 is an abundant number, since it is smaller than the sum of its proper divisors (564425509787572).

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

402442431220400 is a wasteful number, since it uses less digits than its factorization.

402442431220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006106078069 (or 1006106078058 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 402442431220400 its reverse (4022134244204), we get a palindrome (406464565464604).

The spelling of 402442431220400 in words is "four hundred two trillion, four hundred forty-two billion, four hundred thirty-one million, two hundred twenty thousand, four hundred".