220402121413344 has 144 divisors (see below), whose sum is σ = 627027596826624. Its totient is φ = 67757112384000.

The previous prime is 220402121413301. The next prime is 220402121413363. The reversal of 220402121413344 is 443314121204022.

It is a super-2 number, since 2×220402121413344² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12772459 + ... + 24575189.

It is an arithmetic number, because the mean of its divisors is an integer number (4354358311296).

Almost surely, 2^{220402121413344} is an apocalyptic number.

220402121413344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220402121413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313513798413312).

220402121413344 is an abundant number, since it is smaller than the sum of its proper divisors (406625475413280).

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

220402121413344 is a wasteful number, since it uses less digits than its factorization.

220402121413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11803921 (or 11803900 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 220402121413344 its reverse (443314121204022), we get a palindrome (663716242617366).

The spelling of 220402121413344 in words is "two hundred twenty trillion, four hundred two billion, one hundred twenty-one million, four hundred thirteen thousand, three hundred forty-four".