233034320400 has 480 divisors, whose sum is σ = 924343123968. Its totient is φ = 48964608000.

The previous prime is 233034320377. The next prime is 233034320411. The reversal of 233034320400 is 4023430332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6121425 + ... + 6159375.

Almost surely, 2^233034320400 is an apocalyptic number.

233034320400 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 233034320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462171561984).

233034320400 is an abundant number, since it is smaller than the sum of its proper divisors (691308803568).

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

233034320400 is a wasteful number, since it uses less digits than its factorization.

233034320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38039 (or 38028 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 233034320400 its reverse (4023430332), we get a palindrome (237057750732).

The spelling of 233034320400 in words is "two hundred thirty-three billion, thirty-four million, three hundred twenty thousand, four hundred".