42418283236624 has 135 divisors (see below), whose sum is σ = 85124065700037. Its totient is φ = 20476658208000.

The previous prime is 42418283236603. The next prime is 42418283236661. The reversal of 42418283236624 is 42663238281424.

The square root of 42418283236624 is 6512932.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2043950590224 + 40374332646400 = 1429668^2 + 6354080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161286247917 + ... + 161286248179.

Almost surely, 2^{42418283236624} is an apocalyptic number.

42418283236624 is the 6512932-nd square number.

It is an amenable number.

42418283236624 is an abundant number, since it is smaller than the sum of its proper divisors (42705782463413).

42418283236624 is an frugal number, since it uses more digits than its factorization.

42418283236624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 457 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 55.

The spelling of 42418283236624 in words is "forty-two trillion, four hundred eighteen billion, two hundred eighty-three million, two hundred thirty-six thousand, six hundred twenty-four".