1407200925025 has 27 divisors (see below), whose sum is σ = 2029875429081. Its totient is φ = 964909307040.

The previous prime is 1407200925019. The next prime is 1407200925047. The reversal of 1407200925025 is 5205290027041.

The square root of 1407200925025 is 1186255.

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 22643929441 + 1384556995584 = 150479^2 + 1176672^2 .

It is not a de Polignac number, because 1407200925025 - 2⁷ = 1407200924897 is a prime.

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, 41501979 + ... + 41535871.

Almost surely, 2^{1407200925025} is an apocalyptic number.

1407200925025 is the 1186255-th square number.

1407200925025 is the 593128-th centered octagonal number.

It is an amenable number.

1407200925025 is a deficient number, since it is larger than the sum of its proper divisors (622674504056).

1407200925025 is an frugal number, since it uses more digits than its factorization.

1407200925025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67810 (or 33905 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 1407200925025 in words is "one trillion, four hundred seven billion, two hundred million, nine hundred twenty-five thousand, twenty-five".