442076275872100 has 27 divisors (see below), whose sum is σ = 959305974898411. Its totient is φ = 176830426246400.

The previous prime is 442076275872089. The next prime is 442076275872103. The reversal of 442076275872100 is 1278572670244.

The square root of 442076275872100 is 21025610.

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 78737476015396 + 363338799856704 = 8873414^2 + 19061448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442076275872103) 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, 209204820 + ... + 211307380.

Almost surely, 2^{442076275872100} is an apocalyptic number.

442076275872100 is the 21025610-th square number.

It is an amenable number.

442076275872100 is an abundant number, since it is smaller than the sum of its proper divisors (517229699026311).

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

442076275872100 is an frugal number, since it uses more digits than its factorization.

442076275872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205136 (or 2102568 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 55.

The spelling of 442076275872100 in words is "four hundred forty-two trillion, seventy-six billion, two hundred seventy-five million, eight hundred seventy-two thousand, one hundred".