7127404878400 has 189 divisors, whose sum is σ = 18130278932283. Its totient is φ = 2757713971200.

The previous prime is 7127404878361. The next prime is 7127404878403. The reversal of 7127404878400 is 48784047217.

The square root of 7127404878400 is 2669720.

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 2624996193856 + 4502408684544 = 1620184^2 + 2121888^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7127404878403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3310451724 + ... + 3310453876.

Almost surely, 2^{7127404878400} is an apocalyptic number.

7127404878400 is the 2669720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7127404878400

7127404878400 is an abundant number, since it is smaller than the sum of its proper divisors (11002874053883).

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

7127404878400 is an frugal number, since it uses more digits than its factorization.

7127404878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 52.

The spelling of 7127404878400 in words is "seven trillion, one hundred twenty-seven billion, four hundred four million, eight hundred seventy-eight thousand, four hundred".