220042334000 has 320 divisors, whose sum is σ = 567357972480. Its totient is φ = 82368000000.

The previous prime is 220042333999. The next prime is 220042334009. The reversal of 220042334000 is 433240022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (220042334009) 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, 548733800 + ... + 548734200.

It is an arithmetic number, because the mean of its divisors is an integer number (1772993664).

Almost surely, 2^220042334000 is an apocalyptic number.

220042334000 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 220042334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283678986240).

220042334000 is an abundant number, since it is smaller than the sum of its proper divisors (347315638480).

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

220042334000 is a wasteful number, since it uses less digits than its factorization.

220042334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 220042334000 its reverse (433240022), we get a palindrome (220475574022).

The spelling of 220042334000 in words is "two hundred twenty billion, forty-two million, three hundred thirty-four thousand".