220421314340 has 48 divisors (see below), whose sum is σ = 476308458864. Its totient is φ = 85620787200.

The previous prime is 220421314291. The next prime is 220421314367. The reversal of 220421314340 is 43413124022.

It can be written as a sum of positive squares in 8 ways, for example, as 11061990976 + 209359323364 = 105176^2 + 457558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99680 + ... + 671400.

It is an arithmetic number, because the mean of its divisors is an integer number (9923092893).

Almost surely, 2^220421314340 is an apocalyptic number.

220421314340 is a gapful number since it is divisible by the number (20) 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 220421314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238154229432).

220421314340 is an abundant number, since it is smaller than the sum of its proper divisors (255887144524).

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

220421314340 is a wasteful number, since it uses less digits than its factorization.

220421314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572288 (or 572286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 220421314340 its reverse (43413124022), we get a palindrome (263834438362).

The spelling of 220421314340 in words is "two hundred twenty billion, four hundred twenty-one million, three hundred fourteen thousand, three hundred forty".