42625716224 has 468 divisors, whose sum is σ = 116831935332. Its totient is φ = 15359016960.

The previous prime is 42625716209. The next prime is 42625716227. The reversal of 42625716224 is 42261752624.

It can be written as a sum of positive squares in 2 ways, for example, as 19287654400 + 23338061824 = 138880^2 + 152768^2 .

Its product of digits (322560) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42625716227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1375023089 + ... + 1375023119.

Almost surely, 2^42625716224 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 42625716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58415967666).

42625716224 is an abundant number, since it is smaller than the sum of its proper divisors (74206219108).

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

42625716224 is a wasteful number, since it uses less digits than its factorization.

42625716224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 70 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The spelling of 42625716224 in words is "forty-two billion, six hundred twenty-five million, seven hundred sixteen thousand, two hundred twenty-four".