414348816025 has 24 divisors (see below), whose sum is σ = 520326072000. Its totient is φ = 327282168000.

The previous prime is 414348815957. The next prime is 414348816053. The reversal of 414348816025 is 520618843414.

It is not a de Polignac number, because 414348816025 - 2²¹ = 414346718873 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 677926 + ... + 1135024.

It is an arithmetic number, because the mean of its divisors is an integer number (21680253000).

Almost surely, 2^414348816025 is an apocalyptic number.

It is an amenable number.

414348816025 is a deficient number, since it is larger than the sum of its proper divisors (105977255975).

414348816025 is a wasteful number, since it uses less digits than its factorization.

414348816025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457569 (or 457564 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 414348816025 in words is "four hundred fourteen billion, three hundred forty-eight million, eight hundred sixteen thousand, twenty-five".