220242220416 has 96 divisors (see below), whose sum is σ = 634795847400. Its totient is φ = 73295235072.

The previous prime is 220242220403. The next prime is 220242220421. The reversal of 220242220416 is 614022242022.

220242220416 is a `hidden beast` number, since 2 + 2 + 0 + 24 + 2 + 220 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 220242220416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558660 + ... + 867516.

Almost surely, 2^220242220416 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 220242220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317397923700).

220242220416 is an abundant number, since it is smaller than the sum of its proper divisors (414553626984).

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

220242220416 is a wasteful number, since it uses less digits than its factorization.

220242220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309496 (or 309481 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 220242220416 its reverse (614022242022), we get a palindrome (834264462438).

The spelling of 220242220416 in words is "two hundred twenty billion, two hundred forty-two million, two hundred twenty thousand, four hundred sixteen".