44112976427520 has 3840 divisors, whose sum is σ = 213950056320000. Its totient is φ = 8382838210560.

The previous prime is 44112976427467. The next prime is 44112976427537. The reversal of 44112976427520 is 2572467921144.

It is a happy number.

44112976427520 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 2 + 9 + 76 + 42 + 7 + 520 = 666.

44112976427520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113400967486 + ... + 113400967874.

It is an arithmetic number, because the mean of its divisors is an integer number (55716160500).

Almost surely, 2^{44112976427520} is an apocalyptic number.

44112976427520 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 44112976427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106975028160000).

44112976427520 is an abundant number, since it is smaller than the sum of its proper divisors (169837079892480).

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

44112976427520 is a wasteful number, since it uses less digits than its factorization.

44112976427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 44112976427520 in words is "forty-four trillion, one hundred twelve billion, nine hundred seventy-six million, four hundred twenty-seven thousand, five hundred twenty".