42156665124 has 192 divisors, whose sum is σ = 116029089792. Its totient is φ = 11666304000.

The previous prime is 42156665107. The next prime is 42156665141.

42156665124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42156665107) and next prime (42156665141).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 92246304 + ... + 92246760.

It is an arithmetic number, because the mean of its divisors is an integer number (604318176).

Almost surely, 2^42156665124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42156665124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014544896).

42156665124 is an abundant number, since it is smaller than the sum of its proper divisors (73872424668).

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

42156665124 is a wasteful number, since it uses less digits than its factorization.

42156665124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 42156665124 in words is "forty-two billion, one hundred fifty-six million, six hundred sixty-five thousand, one hundred twenty-four".