42264546580224 has 432 divisors, whose sum is σ = 124193000131200. Its totient is φ = 13821534904320.

The previous prime is 42264546580187. The next prime is 42264546580253. The reversal of 42264546580224 is 42208564546224.

42264546580224 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 4 + 54 + 6 + 580 + 2 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12811318927 + ... + 12811322225.

It is an arithmetic number, because the mean of its divisors is an integer number (287483796600).

Almost surely, 2^{42264546580224} 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 42264546580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62096500065600).

42264546580224 is an abundant number, since it is smaller than the sum of its proper divisors (81928453550976).

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

42264546580224 is a wasteful number, since it uses less digits than its factorization.

42264546580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 54.

The spelling of 42264546580224 in words is "forty-two trillion, two hundred sixty-four billion, five hundred forty-six million, five hundred eighty thousand, two hundred twenty-four".