44016590929920 has 1920 divisors, whose sum is σ = 174303243878400. Its totient is φ = 9461154447360.

The previous prime is 44016590929903. The next prime is 44016590929951. The reversal of 44016590929920 is 2992909561044.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×44016590929920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141532446565 + ... + 141532446875.

It is an arithmetic number, because the mean of its divisors is an integer number (90782939520).

Almost surely, 2^{44016590929920} is an apocalyptic number.

44016590929920 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 44016590929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87151621939200).

44016590929920 is an abundant number, since it is smaller than the sum of its proper divisors (130286652948480).

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

44016590929920 is an equidigital number, since it uses as much as digits as its factorization.

44016590929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 44016590929920 in words is "forty-four trillion, sixteen billion, five hundred ninety million, nine hundred twenty-nine thousand, nine hundred twenty".