7401745978225 has 9 divisors (see below), whose sum is σ = 9178181880843. Its totient is φ = 5921385900120.

The previous prime is 7401745978153. The next prime is 7401745978321. The reversal of 7401745978225 is 5228795471047.

It is a happy number.

The square root of 7401745978225 is 2720615.

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

It can be written as a sum of positive squares in only one way, i.e., 2664628552161 + 4737117426064 = 1632369^2 + 2176492^2 .

It is not a de Polignac number, because 7401745978225 - 2²⁵ = 7401712423793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 13331014 + ... + 13875136.

Almost surely, 2^{7401745978225} is an apocalyptic number.

7401745978225 is the 2720615-th square number.

7401745978225 is the 1360308-th centered octagonal number.

It is an amenable number.

7401745978225 is a deficient number, since it is larger than the sum of its proper divisors (1776435902618).

7401745978225 is an frugal number, since it uses more digits than its factorization.

7401745978225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088256 (or 544128 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 61.

The spelling of 7401745978225 in words is "seven trillion, four hundred one billion, seven hundred forty-five million, nine hundred seventy-eight thousand, two hundred twenty-five".