414020331216 has 120 divisors (see below), whose sum is σ = 1174978288640. Its totient is φ = 136079129088.

The previous prime is 414020331211. The next prime is 414020331217. The reversal of 414020331216 is 612133020414.

It is a happy number.

414020331216 is a `hidden beast` number, since 4 + 140 + 203 + 312 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 414020331216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414020331211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2911500 + ... + 3050388.

Almost surely, 2^414020331216 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 414020331216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587489144320).

414020331216 is an abundant number, since it is smaller than the sum of its proper divisors (760957957424).

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

414020331216 is a wasteful number, since it uses less digits than its factorization.

414020331216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139193 (or 139184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 414020331216 in words is "four hundred fourteen billion, twenty million, three hundred thirty-one thousand, two hundred sixteen".