220340421288 has 256 divisors, whose sum is σ = 665851200000. Its totient is φ = 67109990400.

The previous prime is 220340421281. The next prime is 220340421299. The reversal of 220340421288 is 882124043022.

220340421288 is a `hidden beast` number, since 2 + 20 + 340 + 4 + 212 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220340421281) 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, 147978048 + ... + 147979536.

It is an arithmetic number, because the mean of its divisors is an integer number (2600981250).

Almost surely, 2^220340421288 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 220340421288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332925600000).

220340421288 is an abundant number, since it is smaller than the sum of its proper divisors (445510778712).

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

220340421288 is a wasteful number, since it uses less digits than its factorization.

220340421288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 220340421288 in words is "two hundred twenty billion, three hundred forty million, four hundred twenty-one thousand, two hundred eighty-eight".