44385422400 has 1008 divisors, whose sum is σ = 186256257408. Its totient is φ = 9904128000.

The previous prime is 44385422399. The next prime is 44385422447. The reversal of 44385422400 is 422458344.

44385422400 is a `hidden beast` number, since 44 + 38 + 542 + 2 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142718245 + ... + 142718555.

Almost surely, 2^44385422400 is an apocalyptic number.

44385422400 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 44385422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93128128704).

44385422400 is an abundant number, since it is smaller than the sum of its proper divisors (141870835008).

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

44385422400 is a wasteful number, since it uses less digits than its factorization.

44385422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 44385422400 in words is "forty-four billion, three hundred eighty-five million, four hundred twenty-two thousand, four hundred".