414307691825 has 12 divisors (see below), whose sum is σ = 518729323008. Its totient is φ = 328228227600.

The previous prime is 414307691807. The next prime is 414307691839. The reversal of 414307691825 is 528196703414.

It is a happy number.

It is not a de Polignac number, because 414307691825 - 2¹⁶ = 414307626289 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80445521 + ... + 80450670.

It is an arithmetic number, because the mean of its divisors is an integer number (43227443584).

It is a 1-persistent number, because it is pandigital, but 2⋅414307691825 = 828615383650 is not.

Almost surely, 2^414307691825 is an apocalyptic number.

It is an amenable number.

414307691825 is a deficient number, since it is larger than the sum of its proper divisors (104421631183).

414307691825 is a wasteful number, since it uses less digits than its factorization.

414307691825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160896304 (or 160896299 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 414307691825 in words is "four hundred fourteen billion, three hundred seven million, six hundred ninety-one thousand, eight hundred twenty-five".