44461328400 has 360 divisors, whose sum is σ = 160575627264. Its totient is φ = 11379916800.

The previous prime is 44461328399. The next prime is 44461328459. The reversal of 44461328400 is 482316444.

44461328400 is a `hidden beast` number, since 4 + 446 + 132 + 84 + 0 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14171632 + ... + 14174768.

Almost surely, 2^44461328400 is an apocalyptic number.

44461328400 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 44461328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80287813632).

44461328400 is an abundant number, since it is smaller than the sum of its proper divisors (116114298864).

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

44461328400 is a wasteful number, since it uses less digits than its factorization.

44461328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 44461328400 in words is "forty-four billion, four hundred sixty-one million, three hundred twenty-eight thousand, four hundred".