42151615124 has 48 divisors (see below), whose sum is σ = 80171649936. Its totient is φ = 19317504000.

The previous prime is 42151615111. The next prime is 42151615189.

It is a happy number.

42151615124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2018704900 + 40132910224 = 44930^2 + 200332^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368642 + ... + 469254.

It is an arithmetic number, because the mean of its divisors is an integer number (1670242707).

Almost surely, 2^42151615124 is an apocalyptic number.

It is an amenable number.

42151615124 is a deficient number, since it is larger than the sum of its proper divisors (38020034812).

42151615124 is a wasteful number, since it uses less digits than its factorization.

42151615124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100796 (or 100794 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The spelling of 42151615124 in words is "forty-two billion, one hundred fifty-one million, six hundred fifteen thousand, one hundred twenty-four".