42972460804 has 243 divisors, whose sum is σ = 102150709983. Its totient is φ = 15761281536.

The previous prime is 42972460747. The next prime is 42972460823. The reversal of 42972460804 is 40806427924.

The square root of 42972460804 is 207298.

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

It can be written as a sum of positive squares in 4 ways, for example, as 388011204 + 42584449600 = 19698^2 + 206360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 641379979 + ... + 641380045.

Almost surely, 2^42972460804 is an apocalyptic number.

42972460804 is the 207298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42972460804

42972460804 is an abundant number, since it is smaller than the sum of its proper divisors (59178249179).

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

42972460804 is a wasteful number, since it uses less digits than its factorization.

42972460804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 42972460804 in words is "forty-two billion, nine hundred seventy-two million, four hundred sixty thousand, eight hundred four".