42742436572900 has 27 divisors (see below), whose sum is σ = 92751229233019. Its totient is φ = 17096948478080.

The previous prime is 42742436572883. The next prime is 42742436572931. The reversal of 42742436572900 is 927563424724.

The square root of 42742436572900 is 6537770.

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 4635124808356 + 38107311764544 = 2152934^2 + 6173112^2 .

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, 65050812 + ... + 65704588.

Almost surely, 2^{42742436572900} is an apocalyptic number.

42742436572900 is the 6537770-th square number.

It is an amenable number.

42742436572900 is an abundant number, since it is smaller than the sum of its proper divisors (50008792660119).

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

42742436572900 is an frugal number, since it uses more digits than its factorization.

42742436572900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307568 (or 653784 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 55.

The spelling of 42742436572900 in words is "forty-two trillion, seven hundred forty-two billion, four hundred thirty-six million, five hundred seventy-two thousand, nine hundred".