44989997875200 has 1536 divisors, whose sum is σ = 191771222284800. Its totient is φ = 10127608381440.

The previous prime is 44989997875183. The next prime is 44989997875201. The reversal of 44989997875200 is 257879998944.

44989997875200 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 9 + 9 + 9 + 7 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 44989997875200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44989997875201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10373527432 + ... + 10373531768.

It is an arithmetic number, because the mean of its divisors is an integer number (124851056175).

Almost surely, 2^{44989997875200} is an apocalyptic number.

44989997875200 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 44989997875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95885611142400).

44989997875200 is an abundant number, since it is smaller than the sum of its proper divisors (146781224409600).

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

44989997875200 is an equidigital number, since it uses as much as digits as its factorization.

44989997875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 44989997875200 in words is "forty-four trillion, nine hundred eighty-nine billion, nine hundred ninety-seven million, eight hundred seventy-five thousand, two hundred".