414431252125 has 64 divisors (see below), whose sum is σ = 568134777600. Its totient is φ = 299325984000.

The previous prime is 414431252117. The next prime is 414431252129. The reversal of 414431252125 is 521252134414.

It is not a de Polignac number, because 414431252125 - 2³ = 414431252117 is a prime.

It is a super-4 number, since 4×414431252125⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414431252129) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 128345011 + ... + 128348239.

It is an arithmetic number, because the mean of its divisors is an integer number (8877105900).

Almost surely, 2^414431252125 is an apocalyptic number.

It is an amenable number.

414431252125 is a deficient number, since it is larger than the sum of its proper divisors (153703525475).

414431252125 is a wasteful number, since it uses less digits than its factorization.

414431252125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3861 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

Adding to 414431252125 its reverse (521252134414), we get a palindrome (935683386539).

The spelling of 414431252125 in words is "four hundred fourteen billion, four hundred thirty-one million, two hundred fifty-two thousand, one hundred twenty-five".