44080088400 has 360 divisors, whose sum is σ = 156477823320. Its totient is φ = 11487744000.

The previous prime is 44080088399. The next prime is 44080088413. The reversal of 44080088400 is 488008044.

It can be written as a sum of positive squares in 12 ways, for example, as 43893602064 + 186486336 = 209508^2 + 13656^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39747046 + ... + 39748154.

Almost surely, 2^44080088400 is an apocalyptic number.

44080088400 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 44080088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78238911660).

44080088400 is an abundant number, since it is smaller than the sum of its proper divisors (112397734920).

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

44080088400 is a wasteful number, since it uses less digits than its factorization.

44080088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 44080088400 in words is "forty-four billion, eighty million, eighty-eight thousand, four hundred".