414202117056 has 448 divisors, whose sum is σ = 1422855168000. Its totient is φ = 103268265984.

The previous prime is 414202117051. The next prime is 414202117079. The reversal of 414202117056 is 650711202414.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×414202117056² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414202117051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198847791 + ... + 198849873.

It is an arithmetic number, because the mean of its divisors is an integer number (3176016000).

Almost surely, 2^414202117056 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 414202117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711427584000).

414202117056 is an abundant number, since it is smaller than the sum of its proper divisors (1008653050944).

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

414202117056 is a wasteful number, since it uses less digits than its factorization.

414202117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 414202117056 in words is "four hundred fourteen billion, two hundred two million, one hundred seventeen thousand, fifty-six".