42974973580900 has 81 divisors (see below), whose sum is σ = 93642082004289. Its totient is φ = 17119058597760.

The previous prime is 42974973580897. The next prime is 42974973580901. The reversal of 42974973580900 is 908537947924.

The square root of 42974973580900 is 6555530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 26852564346916 + 16122409233984 = 5181946^2 + 4015272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42974973580901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17634374482 + ... + 17634376918.

Almost surely, 2^{42974973580900} is an apocalyptic number.

42974973580900 is the 6555530-th square number.

It is an amenable number.

42974973580900 is an abundant number, since it is smaller than the sum of its proper divisors (50667108423389).

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

42974973580900 is an frugal number, since it uses more digits than its factorization.

42974973580900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 42974973580900 in words is "forty-two trillion, nine hundred seventy-four billion, nine hundred seventy-three million, five hundred eighty thousand, nine hundred".