414220690917 has 32 divisors (see below), whose sum is σ = 674557931520. Its totient is φ = 249126462000.

The previous prime is 414220690841. The next prime is 414220690951. The reversal of 414220690917 is 719096022414.

414220690917 is a `hidden beast` number, since 414 + 220 + 6 + 9 + 0 + 9 + 1 + 7 = 666.

It is not a de Polignac number, because 414220690917 - 2¹⁸ = 414220428773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414220690417) 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 31 ways as a sum of consecutive naturals, for example, 5284309 + ... + 5362122.

It is an arithmetic number, because the mean of its divisors is an integer number (21079935360).

Almost surely, 2^414220690917 is an apocalyptic number.

It is an amenable number.

414220690917 is a deficient number, since it is larger than the sum of its proper divisors (260337240603).

414220690917 is a wasteful number, since it uses less digits than its factorization.

414220690917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646582 (or 10646576 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 414220690917 in words is "four hundred fourteen billion, two hundred twenty million, six hundred ninety thousand, nine hundred seventeen".