204013404000 has 960 divisors, whose sum is σ = 893203863552. Its totient is φ = 44592768000.

The previous prime is 204013403953. The next prime is 204013404011. The reversal of 204013404000 is 404310402.

It is a super-3 number, since 3×204013404000³ (a number of 35 digits) contains 333 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 159 ways as a sum of consecutive naturals, for example, 52162045 + ... + 52165955.

Almost surely, 2^204013404000 is an apocalyptic number.

204013404000 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 204013404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446601931776).

204013404000 is an abundant number, since it is smaller than the sum of its proper divisors (689190459552).

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

204013404000 is a wasteful number, since it uses less digits than its factorization.

204013404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 204013404000 its reverse (404310402), we get a palindrome (204417714402).

The spelling of 204013404000 in words is "two hundred four billion, thirteen million, four hundred four thousand".