44842071343104 has 1440 divisors, whose sum is σ = 160226163202560. Its totient is φ = 12138181558272.

The previous prime is 44842071343001. The next prime is 44842071343127. The reversal of 44842071343104 is 40134317024844.

44842071343104 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 207 + 1 + 3 + 431 + 0 + 4 = 666.

It is a super-2 number, since 2×44842071343104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44842071343104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174482767744 + ... + 174482768000.

Almost surely, 2^{44842071343104} 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 44842071343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80113081601280).

44842071343104 is an abundant number, since it is smaller than the sum of its proper divisors (115384091859456).

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

44842071343104 is an equidigital number, since it uses as much as digits as its factorization.

44842071343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

Adding to 44842071343104 its reverse (40134317024844), we get a palindrome (84976388367948).

The spelling of 44842071343104 in words is "forty-four trillion, eight hundred forty-two billion, seventy-one million, three hundred forty-three thousand, one hundred four".