220217991840 has 1152 divisors, whose sum is σ = 1029020848128. Its totient is φ = 43057889280.

The previous prime is 220217991839. The next prime is 220217991899. The reversal of 220217991840 is 48199712022.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50891757 + ... + 50896083.

It is an arithmetic number, because the mean of its divisors is an integer number (893247264).

Almost surely, 2^220217991840 is an apocalyptic number.

220217991840 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 220217991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514510424064).

220217991840 is an abundant number, since it is smaller than the sum of its proper divisors (808802856288).

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

220217991840 is a wasteful number, since it uses less digits than its factorization.

220217991840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 220217991840 in words is "two hundred twenty billion, two hundred seventeen million, nine hundred ninety-one thousand, eight hundred forty".