44479695849120 has 864 divisors, whose sum is σ = 183283609699008. Its totient is φ = 10157042552832.

The previous prime is 44479695849101. The next prime is 44479695849133. The reversal of 44479695849120 is 2194859697444.

44479695849120 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 9 + 69 + 58 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2089905999 + ... + 2089927281.

It is an arithmetic number, because the mean of its divisors is an integer number (212133807522).

Almost surely, 2^{44479695849120} is an apocalyptic number.

44479695849120 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 44479695849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91641804849504).

44479695849120 is an abundant number, since it is smaller than the sum of its proper divisors (138803913849888).

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

44479695849120 is a wasteful number, since it uses less digits than its factorization.

44479695849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22424 (or 22397 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 44479695849120 in words is "forty-four trillion, four hundred seventy-nine billion, six hundred ninety-five million, eight hundred forty-nine thousand, one hundred twenty".