23442022424320 has 288 divisors, whose sum is σ = 58204101021696. Its totient is φ = 9040152576000.

The previous prime is 23442022424257. The next prime is 23442022424321. The reversal of 23442022424320 is 2342422024432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23442022424321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8119853917 + ... + 8119856803.

It is an arithmetic number, because the mean of its divisors is an integer number (202097572992).

Almost surely, 2^{23442022424320} is an apocalyptic number.

23442022424320 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 23442022424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29102050510848).

23442022424320 is an abundant number, since it is smaller than the sum of its proper divisors (34762078597376).

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

23442022424320 is a wasteful number, since it uses less digits than its factorization.

23442022424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 23442022424320 its reverse (2342422024432), we get a palindrome (25784444448752).

The spelling of 23442022424320 in words is "twenty-three trillion, four hundred forty-two billion, twenty-two million, four hundred twenty-four thousand, three hundred twenty".