204221414000 has 80 divisors (see below), whose sum is σ = 496148723616. Its totient is φ = 81301248000.

The previous prime is 204221413969. The next prime is 204221414011. The reversal of 204221414000 is 414122402.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180032 + ... + 663968.

Almost surely, 2^204221414000 is an apocalyptic number.

204221414000 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 204221414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248074361808).

204221414000 is an abundant number, since it is smaller than the sum of its proper divisors (291927309616).

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

204221414000 is a wasteful number, since it uses less digits than its factorization.

204221414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484171 (or 484155 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 204221414000 its reverse (414122402), we get a palindrome (204635536402).

The spelling of 204221414000 in words is "two hundred four billion, two hundred twenty-one million, four hundred fourteen thousand".