204422000402000 has 160 divisors (see below), whose sum is σ = 499993126963200. Its totient is φ = 80828368320000.

The previous prime is 204422000401967. The next prime is 204422000402027. The reversal of 204422000402000 is 204000224402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124220561 + ... + 125855439.

It is an arithmetic number, because the mean of its divisors is an integer number (3124957043520).

Almost surely, 2^{204422000402000} is an apocalyptic number.

204422000402000 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 204422000402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249996563481600).

204422000402000 is an abundant number, since it is smaller than the sum of its proper divisors (295571126561200).

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

204422000402000 is a wasteful number, since it uses less digits than its factorization.

204422000402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635622 (or 1635606 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204422000402000 its reverse (204000224402), we get a palindrome (204626000626402).

The spelling of 204422000402000 in words is "two hundred four trillion, four hundred twenty-two billion, four hundred two thousand".