44137434400 has 72 divisors (see below), whose sum is σ = 107957559024. Its totient is φ = 17621049600.

The previous prime is 44137434391. The next prime is 44137434457. The reversal of 44137434400 is 443473144.

It is a super-2 number, since 2×44137434400² (a number of 22 digits) contains 22 as substring.

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, 365655 + ... + 471145.

It is an arithmetic number, because the mean of its divisors is an integer number (1499410542).

Almost surely, 2^44137434400 is an apocalyptic number.

44137434400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44137434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978779512).

44137434400 is an abundant number, since it is smaller than the sum of its proper divisors (63820124624).

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

44137434400 is a wasteful number, since it uses less digits than its factorization.

44137434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106034 (or 106021 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 44137434400 in words is "forty-four billion, one hundred thirty-seven million, four hundred thirty-four thousand, four hundred".