42135660624144 has 80 divisors (see below), whose sum is σ = 114070566909312. Its totient is φ = 13376899329024.

The previous prime is 42135660624131. The next prime is 42135660624193. The reversal of 42135660624144 is 44142606653124.

It is a super-3 number, since 3×42135660624144³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42135660624093 and 42135660624102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81644827 + ... + 82159290.

Almost surely, 2^{42135660624144} is an apocalyptic number.

It is an amenable number.

42135660624144 is an abundant number, since it is smaller than the sum of its proper divisors (71934906285168).

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

42135660624144 is a wasteful number, since it uses less digits than its factorization.

42135660624144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163804384 (or 163804378 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 42135660624144 in words is "forty-two trillion, one hundred thirty-five billion, six hundred sixty million, six hundred twenty-four thousand, one hundred forty-four".