44772888400900 has 288 divisors, whose sum is σ = 112645625968512. Its totient is φ = 15265927372800.

The previous prime is 44772888400853. The next prime is 44772888400973. The reversal of 44772888400900 is 900488827744.

It is a super-2 number, since 2×44772888400900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5912169514 + ... + 5912177086.

It is an arithmetic number, because the mean of its divisors is an integer number (391130645724).

Almost surely, 2^{44772888400900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44772888400900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56322812984256).

44772888400900 is an abundant number, since it is smaller than the sum of its proper divisors (67872737567612).

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

44772888400900 is a wasteful number, since it uses less digits than its factorization.

44772888400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 61.

The spelling of 44772888400900 in words is "forty-four trillion, seven hundred seventy-two billion, eight hundred eighty-eight million, four hundred thousand, nine hundred".