204412073040 has 1200 divisors, whose sum is σ = 898194654720. Its totient is φ = 42796615680.

The previous prime is 204412073039. The next prime is 204412073077. The reversal of 204412073040 is 40370214402.

204412073040 is a `hidden beast` number, since 204 + 412 + 0 + 7 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204412072995 and 204412073013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 187018734 + ... + 187019826.

Almost surely, 2^204412073040 is an apocalyptic number.

204412073040 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 204412073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449097327360).

204412073040 is an abundant number, since it is smaller than the sum of its proper divisors (693782581680).

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

204412073040 is a wasteful number, since it uses less digits than its factorization.

204412073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 204412073040 its reverse (40370214402), we get a palindrome (244782287442).

The spelling of 204412073040 in words is "two hundred four billion, four hundred twelve million, seventy-three thousand, forty".