44481612510720 has 1440 divisors, whose sum is σ = 201936251252736. Its totient is φ = 8840976629760.

The previous prime is 44481612510679. The next prime is 44481612510737. The reversal of 44481612510720 is 2701521618444.

44481612510720 is a `hidden beast` number, since 4 + 4 + 4 + 8 + 1 + 61 + 2 + 510 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×44481612510720² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 448792689 + ... + 448891791.

Almost surely, 2^{44481612510720} is an apocalyptic number.

44481612510720 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 44481612510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100968125626368).

44481612510720 is an abundant number, since it is smaller than the sum of its proper divisors (157454638742016).

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

44481612510720 is a wasteful number, since it uses less digits than its factorization.

44481612510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99184 (or 99154 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 44481612510720 in words is "forty-four trillion, four hundred eighty-one billion, six hundred twelve million, five hundred ten thousand, seven hundred twenty".