44455054400 has 168 divisors, whose sum is σ = 116081059176. Its totient is φ = 16698572800.

The previous prime is 44455054381. The next prime is 44455054453. The reversal of 44455054400 is 445055444.

It can be written as a sum of positive squares in 12 ways, for example, as 660284416 + 43794769984 = 25696^2 + 209272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14169632 + ... + 14172768.

Almost surely, 2^44455054400 is an apocalyptic number.

44455054400 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 44455054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58040529588).

44455054400 is an abundant number, since it is smaller than the sum of its proper divisors (71626004776).

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

44455054400 is a wasteful number, since it uses less digits than its factorization.

44455054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The spelling of 44455054400 in words is "forty-four billion, four hundred fifty-five million, fifty-four thousand, four hundred".