23142414400000 has 240 divisors, whose sum is σ = 66052416874752. Its totient is φ = 7934538240000.

The previous prime is 23142414399971. The next prime is 23142414400043. The reversal of 23142414400000 is 441424132.

It is a super-2 number, since 2×23142414400000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10166857 + ... + 12233143.

Almost surely, 2^{23142414400000} is an apocalyptic number.

23142414400000 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 23142414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33026208437376).

23142414400000 is an abundant number, since it is smaller than the sum of its proper divisors (42910002474752).

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

23142414400000 is an frugal number, since it uses more digits than its factorization.

23142414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066337 (or 2066301 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 23142414400000 its reverse (441424132), we get a palindrome (23142855824132).

The spelling of 23142414400000 in words is "twenty-three trillion, one hundred forty-two billion, four hundred fourteen million, four hundred thousand".