125762440400 has 30 divisors (see below), whose sum is σ = 302144264022. Its totient is φ = 50304976000.

The previous prime is 125762440361. The next prime is 125762440403. The reversal of 125762440400 is 4044267521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9906619024 + 115855821376 = 99532^2 + 340376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125762440403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157202651 + ... + 157203450.

Almost surely, 2^125762440400 is an apocalyptic number.

125762440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125762440400 is an abundant number, since it is smaller than the sum of its proper divisors (176381823622).

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

125762440400 is a wasteful number, since it uses less digits than its factorization.

125762440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314406119 (or 314406108 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 125762440400 in words is "one hundred twenty-five billion, seven hundred sixty-two million, four hundred forty thousand, four hundred".