23240410400400 has 240 divisors, whose sum is σ = 75154966560000. Its totient is φ = 6138507962880.

The previous prime is 23240410400399. The next prime is 23240410400453. The reversal of 23240410400400 is 400401404232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1080988851 + ... + 1081010349.

It is an arithmetic number, because the mean of its divisors is an integer number (313145694000).

Almost surely, 2^{23240410400400} is an apocalyptic number.

23240410400400 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 23240410400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37577483280000).

23240410400400 is an abundant number, since it is smaller than the sum of its proper divisors (51914556159600).

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

23240410400400 is a wasteful number, since it uses less digits than its factorization.

23240410400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30046 (or 30035 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23240410400400 its reverse (400401404232), we get a palindrome (23640811804632).

The spelling of 23240410400400 in words is "twenty-three trillion, two hundred forty billion, four hundred ten million, four hundred thousand, four hundred".