42407164900 has 27 divisors (see below), whose sum is σ = 92028016731. Its totient is φ = 16962042240.

The previous prime is 42407164889. The next prime is 42407164901. The reversal of 42407164900 is 946170424.

It is a happy number.

The square root of 42407164900 is 205930.

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 8906451876 + 33500713024 = 94374^2 + 183032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42407164900.

It is not an unprimeable number, because it can be changed into a prime (42407164901) 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, 2049004 + ... + 2069596.

Almost surely, 2^42407164900 is an apocalyptic number.

42407164900 is the 205930-th square number.

It is an amenable number.

42407164900 is an abundant number, since it is smaller than the sum of its proper divisors (49620851831).

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

42407164900 is an frugal number, since it uses more digits than its factorization.

42407164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41200 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 42407164900 in words is "forty-two billion, four hundred seven million, one hundred sixty-four thousand, nine hundred".