44242531553304 has 256 divisors, whose sum is σ = 141403904409600. Its totient is φ = 12555120528000.

The previous prime is 44242531553291. The next prime is 44242531553447. The reversal of 44242531553304 is 40335513524244.

44242531553304 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 25 + 315 + 5 + 3 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44242531553304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2339503609 + ... + 2339522519.

It is an arithmetic number, because the mean of its divisors is an integer number (552359001600).

Almost surely, 2^{44242531553304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44242531553304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70701952204800).

44242531553304 is an abundant number, since it is smaller than the sum of its proper divisors (97161372856296).

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

44242531553304 is a wasteful number, since it uses less digits than its factorization.

44242531553304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29331 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 44242531553304 in words is "forty-four trillion, two hundred forty-two billion, five hundred thirty-one million, five hundred fifty-three thousand, three hundred four".