42625444452624 has 320 divisors, whose sum is σ = 135489220992000. Its totient is φ = 12721809576960.

The previous prime is 42625444452457. The next prime is 42625444452733.

42625444452624 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 5 + 4 + 4 + 4 + 4 + 5 + 2 + 624 = 666.

42625444452624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3457325692 + ... + 3457338020.

It is an arithmetic number, because the mean of its divisors is an integer number (423403815600).

Almost surely, 2^{42625444452624} is an apocalyptic number.

42625444452624 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 42625444452624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67744610496000).

42625444452624 is an abundant number, since it is smaller than the sum of its proper divisors (92863776539376).

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

42625444452624 is a wasteful number, since it uses less digits than its factorization.

42625444452624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23283 (or 23271 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 42625444452624 in words is "forty-two trillion, six hundred twenty-five billion, four hundred forty-four million, four hundred fifty-two thousand, six hundred twenty-four".