4212879400900 has 27 divisors (see below), whose sum is σ = 9141992840071. Its totient is φ = 1685143550240.

The previous prime is 4212879400853. The next prime is 4212879400901. The reversal of 4212879400900 is 90049782124.

The square root of 4212879400900 is 2052530.

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 910547259076 + 3302332141824 = 954226^2 + 1817232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4212879400901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20422674 + ... + 20627926.

Almost surely, 2^{4212879400900} is an apocalyptic number.

4212879400900 is the 2052530-th square number.

It is an amenable number.

4212879400900 is an abundant number, since it is smaller than the sum of its proper divisors (4929113439171).

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

4212879400900 is an frugal number, since it uses more digits than its factorization.

4212879400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410520 (or 205260 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 4212879400900 in words is "four trillion, two hundred twelve billion, eight hundred seventy-nine million, four hundred thousand, nine hundred".