204261942024000 has 896 divisors, whose sum is σ = 884101947555840. Its totient is φ = 45182354688000.

The previous prime is 204261942023999. The next prime is 204261942024089. The reversal of 204261942024000 is 420249162402.

204261942024000 is a `hidden beast` number, since 2 + 0 + 42 + 6 + 1 + 9 + 4 + 202 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44693067 + ... + 49050933.

Almost surely, 2^{204261942024000} is an apocalyptic number.

204261942024000 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 204261942024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442050973777920).

204261942024000 is an abundant number, since it is smaller than the sum of its proper divisors (679840005531840).

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

204261942024000 is a wasteful number, since it uses less digits than its factorization.

204261942024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357941 (or 4357915 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 204261942024000 in words is "two hundred four trillion, two hundred sixty-one billion, nine hundred forty-two million, twenty-four thousand".