204220440000 has 350 divisors, whose sum is σ = 756486553064. Its totient is φ = 54457920000.

The previous prime is 204220439989. The next prime is 204220440059. The reversal of 204220440000 is 44022402.

204220440000 is a `hidden beast` number, since 2 + 0 + 4 + 220 + 440 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×204220440000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3208485 + ... + 3271515.

Almost surely, 2^204220440000 is an apocalyptic number.

204220440000 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 204220440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378243276532).

204220440000 is an abundant number, since it is smaller than the sum of its proper divisors (552266113064).

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

204220440000 is an frugal number, since it uses more digits than its factorization.

204220440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63075 (or 63041 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 204220440000 its reverse (44022402), we get a palindrome (204264462402).

The spelling of 204220440000 in words is "two hundred four billion, two hundred twenty million, four hundred forty thousand".