416022220614 has 128 divisors (see below), whose sum is σ = 1121307909120. Its totient is φ = 99374400000.

The previous prime is 416022220591. The next prime is 416022220619.

416022220614 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416022220619) 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, 1486864 + ... + 1744364.

It is an arithmetic number, because the mean of its divisors is an integer number (8760218040).

Almost surely, 2^416022220614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416022220614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560653954560).

416022220614 is an abundant number, since it is smaller than the sum of its proper divisors (705285688506).

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

416022220614 is a wasteful number, since it uses less digits than its factorization.

416022220614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257806.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 416022 and 220614, that added together give a palindrome (636636).

The spelling of 416022220614 in words is "four hundred sixteen billion, twenty-two million, two hundred twenty thousand, six hundred fourteen".