23330240400 has 240 divisors, whose sum is σ = 77415822848. Its totient is φ = 5999616000.

The previous prime is 23330240399. The next prime is 23330240447. The reversal of 23330240400 is 404203332.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 12535470 + ... + 12537330.

Almost surely, 2^23330240400 is an apocalyptic number.

23330240400 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 23330240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707911424).

23330240400 is an abundant number, since it is smaller than the sum of its proper divisors (54085582448).

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

23330240400 is a wasteful number, since it uses less digits than its factorization.

23330240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 23330240400 its reverse (404203332), we get a palindrome (23734443732).

The spelling of 23330240400 in words is "twenty-three billion, three hundred thirty million, two hundred forty thousand, four hundred".