414342468918 has 192 divisors, whose sum is σ = 1082973265920. Its totient is φ = 111993235200.

The previous prime is 414342468907. The next prime is 414342468971. The reversal of 414342468918 is 819864243414.

414342468918 is a `hidden beast` number, since 4 + 143 + 424 + 68 + 9 + 18 = 666.

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 95 ways as a sum of consecutive naturals, for example, 46755808 + ... + 46764668.

It is an arithmetic number, because the mean of its divisors is an integer number (5640485760).

Almost surely, 2^414342468918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414342468918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541486632960).

414342468918 is an abundant number, since it is smaller than the sum of its proper divisors (668630797002).

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

414342468918 is a wasteful number, since it uses less digits than its factorization.

414342468918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9160 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 414342468918 in words is "four hundred fourteen billion, three hundred forty-two million, four hundred sixty-eight thousand, nine hundred eighteen".