414927199656 has 96 divisors (see below), whose sum is σ = 1164991576320. Its totient is φ = 133272864000.

The previous prime is 414927199651. The next prime is 414927199669. The reversal of 414927199656 is 656991729414.

414927199656 is a `hidden beast` number, since 4 + 1 + 492 + 7 + 1 + 9 + 96 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414927199593 and 414927199602.

It is not an unprimeable number, because it can be changed into a prime (414927199651) 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 23 ways as a sum of consecutive naturals, for example, 121131 + ... + 918981.

It is an arithmetic number, because the mean of its divisors is an integer number (12135328920).

Almost surely, 2^414927199656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414927199656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582495788160).

414927199656 is an abundant number, since it is smaller than the sum of its proper divisors (750064376664).

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

414927199656 is a wasteful number, since it uses less digits than its factorization.

414927199656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798127 (or 798120 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 414927199656 in words is "four hundred fourteen billion, nine hundred twenty-seven million, one hundred ninety-nine thousand, six hundred fifty-six".