23234414100040 has 192 divisors, whose sum is σ = 62369404231680. Its totient is φ = 7737552345600.

The previous prime is 23234414100011. The next prime is 23234414100041. The reversal of 23234414100040 is 4000141443232.

It is a junction number, because it is equal to n+sod(n) for n = 23234414099981 and 23234414100008.

It is not an unprimeable number, because it can be changed into a prime (23234414100041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6537025 + ... + 9444655.

It is an arithmetic number, because the mean of its divisors is an integer number (324840647040).

Almost surely, 2^{23234414100040} is an apocalyptic number.

23234414100040 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 23234414100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31184702115840).

23234414100040 is an abundant number, since it is smaller than the sum of its proper divisors (39134990131640).

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

23234414100040 is a wasteful number, since it uses less digits than its factorization.

23234414100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907804 (or 2907789 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23234414100040 its reverse (4000141443232), we get a palindrome (27234555543272).

The spelling of 23234414100040 in words is "twenty-three trillion, two hundred thirty-four billion, four hundred fourteen million, one hundred thousand, forty".