44260425216000 has 3744 divisors, whose sum is σ = 202019240928960. Its totient is φ = 9531260928000.

The previous prime is 44260425215863. The next prime is 44260425216031. The reversal of 44260425216000 is 61252406244.

44260425216000 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 0 + 4 + 25 + 21 + 600 + 0 = 666.

It is a super-2 number, since 2×44260425216000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 244532735910 + ... + 244532736090.

It is an arithmetic number, because the mean of its divisors is an integer number (53958130590).

Almost surely, 2^{44260425216000} is an apocalyptic number.

44260425216000 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 44260425216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101009620464480).

44260425216000 is an abundant number, since it is smaller than the sum of its proper divisors (157758815712960).

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

44260425216000 is a wasteful number, since it uses less digits than its factorization.

44260425216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 44260425216000 in words is "forty-four trillion, two hundred sixty billion, four hundred twenty-five million, two hundred sixteen thousand".