44447961600 has 960 divisors, whose sum is σ = 196468377600. Its totient is φ = 9614868480.

The previous prime is 44447961563. The next prime is 44447961601. The reversal of 44447961600 is 616974444.

44447961600 is a `hidden beast` number, since 44 + 447 + 9 + 6 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (44447961601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45964317 + ... + 45965283.

It is an arithmetic number, because the mean of its divisors is an integer number (204654560).

Almost surely, 2^44447961600 is an apocalyptic number.

44447961600 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 44447961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98234188800).

44447961600 is an abundant number, since it is smaller than the sum of its proper divisors (152020416000).

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

44447961600 is a wasteful number, since it uses less digits than its factorization.

44447961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 44447961600 in words is "forty-four billion, four hundred forty-seven million, nine hundred sixty-one thousand, six hundred".