42136463124 has 72 divisors (see below), whose sum is σ = 124317543168. Its totient is φ = 11782837440.

The previous prime is 42136463107. The next prime is 42136463141.

42136463124 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 646 + 3 + 1 + 2 + 4 = 666.

42136463124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42136463107) and next prime (42136463141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1766967 + ... + 1790654.

It is an arithmetic number, because the mean of its divisors is an integer number (1726632544).

Almost surely, 2^42136463124 is an apocalyptic number.

It is an amenable number.

42136463124 is an abundant number, since it is smaller than the sum of its proper divisors (82181080044).

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

42136463124 is a wasteful number, since it uses less digits than its factorization.

42136463124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557685 (or 3557680 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 42136463124 in words is "forty-two billion, one hundred thirty-six million, four hundred sixty-three thousand, one hundred twenty-four".