204325847040 has 544 divisors, whose sum is σ = 780335917056. Its totient is φ = 44637880320.

The previous prime is 204325847029. The next prime is 204325847071. The reversal of 204325847040 is 40748523402.

It is a happy number.

It is a super-2 number, since 2×204325847040² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204325847040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158268795 + ... + 158270085.

It is an arithmetic number, because the mean of its divisors is an integer number (1434441024).

Almost surely, 2^204325847040 is an apocalyptic number.

204325847040 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 204325847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390167958528).

204325847040 is an abundant number, since it is smaller than the sum of its proper divisors (576010070016).

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

204325847040 is an equidigital number, since it uses as much as digits as its factorization.

204325847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 204325847040 in words is "two hundred four billion, three hundred twenty-five million, eight hundred forty-seven thousand, forty".