204014204214000 has 320 divisors, whose sum is σ = 697067722346112. Its totient is φ = 51156860928000.

The previous prime is 204014204213977. The next prime is 204014204214077. The reversal of 204014204214000 is 412402410402.

204014204214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110982360 + ... + 112805640.

Almost surely, 2^{204014204214000} is an apocalyptic number.

204014204214000 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 204014204214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348533861173056).

204014204214000 is an abundant number, since it is smaller than the sum of its proper divisors (493053518132112).

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

204014204214000 is a wasteful number, since it uses less digits than its factorization.

204014204214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824421 (or 1824405 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204014204214000 its reverse (412402410402), we get a palindrome (204426606624402).

The spelling of 204014204214000 in words is "two hundred four trillion, fourteen billion, two hundred four million, two hundred fourteen thousand".