44979446400 has 768 divisors, whose sum is σ = 175884099840. Its totient is φ = 9891348480.

The previous prime is 44979446341. The next prime is 44979446419. The reversal of 44979446400 is 464497944.

44979446400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 259996714 + ... + 259996886.

It is an arithmetic number, because the mean of its divisors is an integer number (229015755).

Almost surely, 2^44979446400 is an apocalyptic number.

44979446400 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 44979446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87942049920).

44979446400 is an abundant number, since it is smaller than the sum of its proper divisors (130904653440).

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

44979446400 is a wasteful number, since it uses less digits than its factorization.

44979446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 44979446400 in words is "forty-four billion, nine hundred seventy-nine million, four hundred forty-six thousand, four hundred".