414013541634 has 96 divisors (see below), whose sum is σ = 1125781263360. Its totient is φ = 106823772000.

The previous prime is 414013541629. The next prime is 414013541639. The reversal of 414013541634 is 436145310414.

414013541634 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 13 + 5 + 4 + 1 + 634 = 666.

It is an interprime number because it is at equal distance from previous prime (414013541629) and next prime (414013541639).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414013541639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779824 + ... + 1198395.

It is an arithmetic number, because the mean of its divisors is an integer number (11726888160).

Almost surely, 2^414013541634 is an apocalyptic number.

414013541634 is an abundant number, since it is smaller than the sum of its proper divisors (711767721726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414013541634 is a wasteful number, since it uses less digits than its factorization.

414013541634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978396 (or 1978393 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 414013541634 in words is "four hundred fourteen billion, thirteen million, five hundred forty-one thousand, six hundred thirty-four".