44400013313200 has 60 divisors (see below), whose sum is σ = 106678273693680. Its totient is φ = 17758799630080.

The previous prime is 44400013313177. The next prime is 44400013313291. The reversal of 44400013313200 is 231331000444.

It is a super-2 number, since 2×44400013313200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2143182 + ... + 9664018.

It is an arithmetic number, because the mean of its divisors is an integer number (1777971228228).

Almost surely, 2^{44400013313200} is an apocalyptic number.

44400013313200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400013313200 is an abundant number, since it is smaller than the sum of its proper divisors (62278260380480).

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

44400013313200 is a wasteful number, since it uses less digits than its factorization.

44400013313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535614 (or 7535603 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 44400013313200 its reverse (231331000444), we get a palindrome (44631344313644).

The spelling of 44400013313200 in words is "forty-four trillion, four hundred billion, thirteen million, three hundred thirteen thousand, two hundred".