42112541625 has 192 divisors, whose sum is σ = 89964276480. Its totient is φ = 17297280000.

The previous prime is 42112541609. The next prime is 42112541663. The reversal of 42112541625 is 52614521124.

It is a happy number.

It is not a de Polignac number, because 42112541625 - 2⁴ = 42112541609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17987955 + ... + 17990295.

It is an arithmetic number, because the mean of its divisors is an integer number (468563940).

Almost surely, 2^42112541625 is an apocalyptic number.

It is an amenable number.

42112541625 is an abundant number, since it is smaller than the sum of its proper divisors (47851734855).

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

42112541625 is a wasteful number, since it uses less digits than its factorization.

42112541625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2456 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The spelling of 42112541625 in words is "forty-two billion, one hundred twelve million, five hundred forty-one thousand, six hundred twenty-five".