413031444400 has 60 divisors (see below), whose sum is σ = 1026525592800. Its totient is φ = 159515587840.

The previous prime is 413031444391. The next prime is 413031444421. The reversal of 413031444400 is 4444130314.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17791480 + ... + 17814679.

It is an arithmetic number, because the mean of its divisors is an integer number (17108759880).

Almost surely, 2^413031444400 is an apocalyptic number.

413031444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413031444400 is an abundant number, since it is smaller than the sum of its proper divisors (613494148400).

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

413031444400 is a wasteful number, since it uses less digits than its factorization.

413031444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35606206 (or 35606195 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 413031444400 its reverse (4444130314), we get a palindrome (417475574714).

It can be divided in two parts, 4130314 and 44400, that added together give a palindrome (4174714).

The spelling of 413031444400 in words is "four hundred thirteen billion, thirty-one million, four hundred forty-four thousand, four hundred".