42029920144 has 45 divisors (see below), whose sum is σ = 82373106907. Its totient is φ = 20775096032.

The previous prime is 42029920111. The next prime is 42029920201. The reversal of 42029920144 is 44102992024.

The square root of 42029920144 is 205012.

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

42029920144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42029920144² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87744897 + ... + 87745375.

Almost surely, 2^42029920144 is an apocalyptic number.

42029920144 is the 205012-nd square number.

It is an amenable number.

42029920144 is a deficient number, since it is larger than the sum of its proper divisors (40343186763).

42029920144 is an frugal number, since it uses more digits than its factorization.

42029920144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 42029920144 in words is "forty-two billion, twenty-nine million, nine hundred twenty thousand, one hundred forty-four".