44972771400 has 240 divisors, whose sum is σ = 156687672240. Its totient is φ = 11955081600.

The previous prime is 44972771381. The next prime is 44972771479. The reversal of 44972771400 is 417727944.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 5358007 + ... + 5366393.

It is an arithmetic number, because the mean of its divisors is an integer number (652865301).

Almost surely, 2^44972771400 is an apocalyptic number.

44972771400 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 44972771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343836120).

44972771400 is an abundant number, since it is smaller than the sum of its proper divisors (111714900840).

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

44972771400 is a wasteful number, since it uses less digits than its factorization.

44972771400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8746 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 44972771400 in words is "forty-four billion, nine hundred seventy-two million, seven hundred seventy-one thousand, four hundred".