233030114400 has 288 divisors, whose sum is σ = 782987385600. Its totient is φ = 60153477120.

The previous prime is 233030114399. The next prime is 233030114431. The reversal of 233030114400 is 4411030332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17664607 + ... + 17677793.

It is an arithmetic number, because the mean of its divisors is an integer number (2718706200).

Almost surely, 2^233030114400 is an apocalyptic number.

233030114400 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 233030114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391493692800).

233030114400 is an abundant number, since it is smaller than the sum of its proper divisors (549957271200).

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

233030114400 is a wasteful number, since it uses less digits than its factorization.

233030114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233030114400 its reverse (4411030332), we get a palindrome (237441144732).

The spelling of 233030114400 in words is "two hundred thirty-three billion, thirty million, one hundred fourteen thousand, four hundred".