44612316690480 has 960 divisors, whose sum is σ = 196684097126400. Its totient is φ = 8779487201280.

The previous prime is 44612316690457. The next prime is 44612316690493. The reversal of 44612316690480 is 8409661321644.

44612316690480 is a `hidden beast` number, since 4 + 4 + 6 + 12 + 3 + 1 + 66 + 90 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6403371957 + ... + 6403378923.

It is an arithmetic number, because the mean of its divisors is an integer number (204879267840).

Almost surely, 2^{44612316690480} is an apocalyptic number.

44612316690480 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 44612316690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98342048563200).

44612316690480 is an abundant number, since it is smaller than the sum of its proper divisors (152071780435920).

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

44612316690480 is a wasteful number, since it uses less digits than its factorization.

44612316690480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13102 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 44612316690480 in words is "forty-four trillion, six hundred twelve billion, three hundred sixteen million, six hundred ninety thousand, four hundred eighty".