23133310224240 has 320 divisors, whose sum is σ = 77241437481600. Its totient is φ = 5715625574400.

The previous prime is 23133310224223. The next prime is 23133310224257. The reversal of 23133310224240 is 4242201333132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23133310224223) and next prime (23133310224257).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23133310224198 and 23133310224207.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16742476 + ... + 18071444.

It is an arithmetic number, because the mean of its divisors is an integer number (241379492130).

Almost surely, 2^{23133310224240} is an apocalyptic number.

23133310224240 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 23133310224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620718740800).

23133310224240 is an abundant number, since it is smaller than the sum of its proper divisors (54108127257360).

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

23133310224240 is a wasteful number, since it uses less digits than its factorization.

23133310224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329116 (or 1329110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 23133310224240 its reverse (4242201333132), we get a palindrome (27375511557372).

The spelling of 23133310224240 in words is "twenty-three trillion, one hundred thirty-three billion, three hundred ten million, two hundred twenty-four thousand, two hundred forty".