23300431211040 has 384 divisors, whose sum is σ = 76519068595200. Its totient is φ = 5955523940352.

The previous prime is 23300431210993. The next prime is 23300431211077. The reversal of 23300431211040 is 4011213400332.

It is a happy number.

It is a super-2 number, since 2×23300431211040² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23300431211040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255209239 + ... + 255300521.

It is an arithmetic number, because the mean of its divisors is an integer number (199268407800).

Almost surely, 2^{23300431211040} is an apocalyptic number.

23300431211040 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 23300431211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38259534297600).

23300431211040 is an abundant number, since it is smaller than the sum of its proper divisors (53218637384160).

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

23300431211040 is a wasteful number, since it uses less digits than its factorization.

23300431211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91576 (or 91568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23300431211040 its reverse (4011213400332), we get a palindrome (27311644611372).

The spelling of 23300431211040 in words is "twenty-three trillion, three hundred billion, four hundred thirty-one million, two hundred eleven thousand, forty".