44145552400 has 60 divisors (see below), whose sum is σ = 112298512212. Its totient is φ = 16619499520.

The previous prime is 44145552331. The next prime is 44145552421. The reversal of 44145552400 is 425554144.

It can be written as a sum of positive squares in 6 ways, for example, as 1265082624 + 42880469776 = 35568^2 + 207076^2 .

It is a super-2 number, since 2×44145552400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 3239197 + ... + 3252796.

Almost surely, 2^44145552400 is an apocalyptic number.

44145552400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44145552400 is an abundant number, since it is smaller than the sum of its proper divisors (68152959812).

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

44145552400 is a wasteful number, since it uses less digits than its factorization.

44145552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492028 (or 6492017 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 44145552400 in words is "forty-four billion, one hundred forty-five million, five hundred fifty-two thousand, four hundred".