23410240000000 has 624 divisors, whose sum is σ = 68117909406768. Its totient is φ = 8020992000000.

The previous prime is 23410239999989. The next prime is 23410240000019. The reversal of 23410240000000 is 4201432.

It can be written as a sum of positive squares in 8 ways, for example, as 21545638825984 + 1864601174016 = 4641728^2 + 1365504^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15679999254 + ... + 15680000746.

It is an arithmetic number, because the mean of its divisors is an integer number (109163316357).

Almost surely, 2^{23410240000000} is an apocalyptic number.

23410240000000 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 23410240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34058954703384).

23410240000000 is an abundant number, since it is smaller than the sum of its proper divisors (44707669406768).

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

23410240000000 is an frugal number, since it uses more digits than its factorization.

23410240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 23410240000000 its reverse (4201432), we get a palindrome (23410244201432).

The spelling of 23410240000000 in words is "twenty-three trillion, four hundred ten billion, two hundred forty million", and thus it is an aban number.