42072573456 has 45 divisors (see below), whose sum is σ = 117751660429. Its totient is φ = 14023370688.

The previous prime is 42072573443. The next prime is 42072573457. The reversal of 42072573456 is 65437527024.

The square root of 42072573456 is 205116.

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

42072573456 is a `hidden beast` number, since 4 + 2 + 0 + 72 + 573 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23134410000 + 18938163456 = 152100^2 + 137616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42072573457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2452846 + ... + 2469938.

Almost surely, 2^42072573456 is an apocalyptic number.

42072573456 is the 205116-th square number.

It is an amenable number.

42072573456 is an abundant number, since it is smaller than the sum of its proper divisors (75679086973).

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

42072573456 is an frugal number, since it uses more digits than its factorization.

42072573456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34200 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 42072573456 in words is "forty-two billion, seventy-two million, five hundred seventy-three thousand, four hundred fifty-six".