42625052624 has 160 divisors (see below), whose sum is σ = 104342964480. Its totient is φ = 16386048000.

The previous prime is 42625052623. The next prime is 42625052651.

42625052624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42625052624² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42625052623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63335552 + ... + 63336224.

It is an arithmetic number, because the mean of its divisors is an integer number (652143528).

Almost surely, 2^42625052624 is an apocalyptic number.

42625052624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42625052624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52171482240).

42625052624 is an abundant number, since it is smaller than the sum of its proper divisors (61717911856).

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

42625052624 is a wasteful number, since it uses less digits than its factorization.

42625052624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 426250 and 52624, that added together give a palindrome (478874).

The spelling of 42625052624 in words is "forty-two billion, six hundred twenty-five million, fifty-two thousand, six hundred twenty-four".