414680413725 has 54 divisors (see below), whose sum is σ = 747936183150. Its totient is φ = 219616110720.

The previous prime is 414680413717. The next prime is 414680413739. The reversal of 414680413725 is 527314086414.

414680413725 is a `hidden beast` number, since 414 + 6 + 80 + 4 + 137 + 25 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 11857903236 + 402822510489 = 108894^2 + 634683^2 .

It is not a de Polignac number, because 414680413725 - 2³ = 414680413717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 117905667 + ... + 117909183.

Almost surely, 2^414680413725 is an apocalyptic number.

414680413725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414680413725 is a deficient number, since it is larger than the sum of its proper divisors (333255769425).

414680413725 is an equidigital number, since it uses as much as digits as its factorization.

414680413725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 414680413725 in words is "four hundred fourteen billion, six hundred eighty million, four hundred thirteen thousand, seven hundred twenty-five".