204310432010400 has 288 divisors, whose sum is σ = 670739700286656. Its totient is φ = 54015836160000.

The previous prime is 204310432010369. The next prime is 204310432010453. The reversal of 204310432010400 is 4010234013402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333272160 + ... + 333884640.

It is an arithmetic number, because the mean of its divisors is an integer number (2328957292662).

Almost surely, 2^{204310432010400} is an apocalyptic number.

204310432010400 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 204310432010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335369850143328).

204310432010400 is an abundant number, since it is smaller than the sum of its proper divisors (466429268276256).

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

204310432010400 is a wasteful number, since it uses less digits than its factorization.

204310432010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613696 (or 613683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204310432010400 its reverse (4010234013402), we get a palindrome (208320666023802).

The spelling of 204310432010400 in words is "two hundred four trillion, three hundred ten billion, four hundred thirty-two million, ten thousand, four hundred".