416812272100 has 243 divisors, whose sum is σ = 1102637708571. Its totient is φ = 136352832000.

The previous prime is 416812272083. The next prime is 416812272109. The reversal of 416812272100 is 1272218614.

The square root of 416812272100 is 645610.

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 111498559396 + 305313712704 = 333914^2 + 552552^2 .

It is not an unprimeable number, because it can be changed into a prime (416812272109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1039431900 + ... + 1039432300.

Almost surely, 2^416812272100 is an apocalyptic number.

416812272100 is the 645610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416812272100

416812272100 is an abundant number, since it is smaller than the sum of its proper divisors (685825436471).

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

416812272100 is a wasteful number, since it uses less digits than its factorization.

416812272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 416812272100 in words is "four hundred sixteen billion, eight hundred twelve million, two hundred seventy-two thousand, one hundred".