204399349440 has 448 divisors, whose sum is σ = 764372270592. Its totient is φ = 45622886400.

The previous prime is 204399349439. The next prime is 204399349507. The reversal of 204399349440 is 44943993402.

It is a happy number.

204399349440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60813360 + ... + 60816720.

It is an arithmetic number, because the mean of its divisors is an integer number (1706188104).

Almost surely, 2^204399349440 is an apocalyptic number.

204399349440 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 204399349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382186135296).

204399349440 is an abundant number, since it is smaller than the sum of its proper divisors (559972921152).

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

204399349440 is a wasteful number, since it uses less digits than its factorization.

204399349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 204399349440 in words is "two hundred four billion, three hundred ninety-nine million, three hundred forty-nine thousand, four hundred forty".