42514872624 has 640 divisors, whose sum is σ = 150847488000. Its totient is φ = 11208637440.

The previous prime is 42514872577. The next prime is 42514872641. The reversal of 42514872624 is 42627841524.

42514872624 is a `hidden beast` number, since 4 + 2 + 5 + 14 + 8 + 7 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42514872624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213642477 + ... + 213642675.

It is an arithmetic number, because the mean of its divisors is an integer number (235699200).

Almost surely, 2^42514872624 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 42514872624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744000).

42514872624 is an abundant number, since it is smaller than the sum of its proper divisors (108332615376).

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

42514872624 is a wasteful number, since it uses less digits than its factorization.

42514872624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 42514872624 in words is "forty-two billion, five hundred fourteen million, eight hundred seventy-two thousand, six hundred twenty-four".