204242442013440 has 216 divisors, whose sum is σ = 707152143057360. Its totient is φ = 54426532995072.

The previous prime is 204242442013411. The next prime is 204242442013481. The reversal of 204242442013440 is 44310244242402.

204242442013440 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 4 + 2 + 4 + 4 + 201 + 3 + 440 = 666.

204242442013440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204242442013440² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 204242442013395 and 204242442013404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10258659 + ... + 22665501.

Almost surely, 2^{204242442013440} is an apocalyptic number.

204242442013440 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 204242442013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353576071528680).

204242442013440 is an abundant number, since it is smaller than the sum of its proper divisors (502909701043920).

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

204242442013440 is a wasteful number, since it uses less digits than its factorization.

204242442013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12408299 (or 12408282 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204242442013440 its reverse (44310244242402), we get a palindrome (248552686255842).

The spelling of 204242442013440 in words is "two hundred four trillion, two hundred forty-two billion, four hundred forty-two million, thirteen thousand, four hundred forty".