204331144244040 has 192 divisors, whose sum is σ = 725507477173440. Its totient is φ = 49462296829440.

The previous prime is 204331144243997. The next prime is 204331144244147. The reversal of 204331144244040 is 40442441133402.

204331144244040 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 31 + 144 + 2 + 440 + 40 = 666.

204331144244040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 204331144243986 and 204331144244004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35068947 + ... + 40478306.

It is an arithmetic number, because the mean of its divisors is an integer number (3778684776945).

Almost surely, 2^{204331144244040} is an apocalyptic number.

204331144244040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204331144244040 is an abundant number, since it is smaller than the sum of its proper divisors (521176332929400).

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

204331144244040 is a wasteful number, since it uses less digits than its factorization.

204331144244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75547964 (or 75547957 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 204331144244040 its reverse (40442441133402), we get a palindrome (244773585377442).

The spelling of 204331144244040 in words is "two hundred four trillion, three hundred thirty-one billion, one hundred forty-four million, two hundred forty-four thousand, forty".