414151642804 has 48 divisors (see below), whose sum is σ = 738508700160. Its totient is φ = 203193204480.

The previous prime is 414151642789. The next prime is 414151642813. The reversal of 414151642804 is 408246151414.

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 15 ways as a sum of consecutive naturals, for example, 25736449 + ... + 25752535.

It is an arithmetic number, because the mean of its divisors is an integer number (15385597920).

Almost surely, 2^414151642804 is an apocalyptic number.

It is an amenable number.

414151642804 is a deficient number, since it is larger than the sum of its proper divisors (324357057356).

414151642804 is a wasteful number, since it uses less digits than its factorization.

414151642804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16768 (or 16766 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 414151642804 in words is "four hundred fourteen billion, one hundred fifty-one million, six hundred forty-two thousand, eight hundred four".