204401421312 has 176 divisors, whose sum is σ = 595296159744. Its totient is φ = 61839360000.

The previous prime is 204401421293. The next prime is 204401421373. The reversal of 204401421312 is 213124104402.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22331937 + ... + 22341087.

It is an arithmetic number, because the mean of its divisors is an integer number (3382364544).

Almost surely, 2^204401421312 is an apocalyptic number.

204401421312 is a gapful number since it is divisible by the number (22) 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 204401421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297648079872).

204401421312 is an abundant number, since it is smaller than the sum of its proper divisors (390894738432).

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

204401421312 is a wasteful number, since it uses less digits than its factorization.

204401421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9846 (or 9828 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 204401421312 its reverse (213124104402), we get a palindrome (417525525714).

The spelling of 204401421312 in words is "two hundred four billion, four hundred one million, four hundred twenty-one thousand, three hundred twelve".