23040314003200 has 216 divisors, whose sum is σ = 61475554090496. Its totient is φ = 8498829312000.

The previous prime is 23040314003173. The next prime is 23040314003209. The reversal of 23040314003200 is 230041304032.

It is a happy number.

It is a super-2 number, since 2×23040314003200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23040314003209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84811585 + ... + 85082815.

Almost surely, 2^{23040314003200} is an apocalyptic number.

23040314003200 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 23040314003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30737777045248).

23040314003200 is an abundant number, since it is smaller than the sum of its proper divisors (38435240087296).

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

23040314003200 is a wasteful number, since it uses less digits than its factorization.

23040314003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272291 (or 272272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23040314003200 its reverse (230041304032), we get a palindrome (23270355307232).

The spelling of 23040314003200 in words is "twenty-three trillion, forty billion, three hundred fourteen million, three thousand, two hundred".