414211234125 has 32 divisors (see below), whose sum is σ = 742266540288. Its totient is φ = 203919374400.

The previous prime is 414211234043. The next prime is 414211234169. The reversal of 414211234125 is 521432112414.

It is not a de Polignac number, because 414211234125 - 2⁸ = 414211233869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414211234092 and 414211234101.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 42478329 + ... + 42488078.

It is an arithmetic number, because the mean of its divisors is an integer number (23195829384).

Almost surely, 2^414211234125 is an apocalyptic number.

It is an amenable number.

414211234125 is a deficient number, since it is larger than the sum of its proper divisors (328055306163).

414211234125 is a wasteful number, since it uses less digits than its factorization.

414211234125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84966438 (or 84966428 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 414211234125 its reverse (521432112414), we get a palindrome (935643346539).

The spelling of 414211234125 in words is "four hundred fourteen billion, two hundred eleven million, two hundred thirty-four thousand, one hundred twenty-five".