42441564303152 has 320 divisors, whose sum is σ = 99171137783808. Its totient is φ = 17223736320000.

The previous prime is 42441564303119. The next prime is 42441564303161. The reversal of 42441564303152 is 25130346514424.

42441564303152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42441564303152² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3576429923 + ... + 3576441789.

Almost surely, 2^{42441564303152} 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 42441564303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49585568891904).

42441564303152 is an abundant number, since it is smaller than the sum of its proper divisors (56729573480656).

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

42441564303152 is a wasteful number, since it uses less digits than its factorization.

42441564303152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 42441564303152 in words is "forty-two trillion, four hundred forty-one billion, five hundred sixty-four million, three hundred three thousand, one hundred fifty-two".