220401355304420 has 24 divisors (see below), whose sum is σ = 462866364208248. Its totient is φ = 88156062489600.

The previous prime is 220401355304419. The next prime is 220401355304489. The reversal of 220401355304420 is 24403553104022.

It is a happy number.

220401355304420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 157083909689344 + 63317445615076 = 12533312^2 + 7957226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279573551 + ... + 280360790.

It is an arithmetic number, because the mean of its divisors is an integer number (19286098508677).

Almost surely, 2^{220401355304420} is an apocalyptic number.

220401355304420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220401355304420 is an abundant number, since it is smaller than the sum of its proper divisors (242465008903828).

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

220401355304420 is a wasteful number, since it uses less digits than its factorization.

220401355304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559954031 (or 559954029 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 220401355304420 in words is "two hundred twenty trillion, four hundred one billion, three hundred fifty-five million, three hundred four thousand, four hundred twenty".