42652611625624 has 128 divisors (see below), whose sum is σ = 107450829964800. Its totient is φ = 15329082608640.

The previous prime is 42652611625597. The next prime is 42652611625627.

42652611625624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42652611625627) 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, 9858364 + ... + 13508980.

It is an arithmetic number, because the mean of its divisors is an integer number (839459609100).

Almost surely, 2^{42652611625624} is an apocalyptic number.

42652611625624 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 42652611625624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53725414982400).

42652611625624 is an abundant number, since it is smaller than the sum of its proper divisors (64798218339176).

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

42652611625624 is a wasteful number, since it uses less digits than its factorization.

42652611625624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652113 (or 3652109 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 42652611625624 in words is "forty-two trillion, six hundred fifty-two billion, six hundred eleven million, six hundred twenty-five thousand, six hundred twenty-four".