4272199624900 has 81 divisors (see below), whose sum is σ = 9344132379309. Its totient is φ = 1695444804960.

The previous prime is 4272199624897. The next prime is 4272199624933. The reversal of 4272199624900 is 94269912724.

The square root of 4272199624900 is 2066930.

It is a perfect power (a square), and thus also a powerful number.

4272199624900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1537991864964 + 2734207759936 = 1240158^2 + 1653544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2873031957 + ... + 2873033443.

Almost surely, 2^{4272199624900} is an apocalyptic number.

4272199624900 is the 2066930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4272199624900

4272199624900 is an abundant number, since it is smaller than the sum of its proper divisors (5071932754409).

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

4272199624900 is an equidigital number, since it uses as much as digits as its factorization.

4272199624900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 4272199624900 in words is "four trillion, two hundred seventy-two billion, one hundred ninety-nine million, six hundred twenty-four thousand, nine hundred".