414980611092 has 72 divisors (see below), whose sum is σ = 1051816278240. Its totient is φ = 137953212480.

The previous prime is 414980611091. The next prime is 414980611153. The reversal of 414980611092 is 290116089414.

It is a happy number.

414980611092 is a `hidden beast` number, since 4 + 1 + 498 + 0 + 61 + 10 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414980611091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20612143 + ... + 20632265.

It is an arithmetic number, because the mean of its divisors is an integer number (14608559420).

Almost surely, 2^414980611092 is an apocalyptic number.

It is an amenable number.

414980611092 is an abundant number, since it is smaller than the sum of its proper divisors (636835667148).

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

414980611092 is a wasteful number, since it uses less digits than its factorization.

414980611092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21653 (or 21648 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 414980611092 in words is "four hundred fourteen billion, nine hundred eighty million, six hundred eleven thousand, ninety-two".