413044004400 has 120 divisors (see below), whose sum is σ = 1332636997440. Its totient is φ = 109352613120.

The previous prime is 413044004389. The next prime is 413044004441. The reversal of 413044004400 is 4400440314.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071342 + ... + 1404941.

It is an arithmetic number, because the mean of its divisors is an integer number (11105308312).

Almost surely, 2^413044004400 is an apocalyptic number.

413044004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413044004400 is an abundant number, since it is smaller than the sum of its proper divisors (919592993040).

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

413044004400 is a wasteful number, since it uses less digits than its factorization.

413044004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476443 (or 2476432 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 413044004400 its reverse (4400440314), we get a palindrome (417444444714).

The spelling of 413044004400 in words is "four hundred thirteen billion, forty-four million, four thousand, four hundred".