23421034322400 has 1152 divisors, whose sum is σ = 93598905286656. Its totient is φ = 5010118041600.

The previous prime is 23421034322383. The next prime is 23421034322437. The reversal of 23421034322400 is 422343012432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693590317 + ... + 693624083.

It is an arithmetic number, because the mean of its divisors is an integer number (81249049728).

Almost surely, 2^{23421034322400} is an apocalyptic number.

23421034322400 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 23421034322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46799452643328).

23421034322400 is an abundant number, since it is smaller than the sum of its proper divisors (70177870964256).

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

23421034322400 is a wasteful number, since it uses less digits than its factorization.

23421034322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33904 (or 33891 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23421034322400 its reverse (422343012432), we get a palindrome (23843377334832).

The spelling of 23421034322400 in words is "twenty-three trillion, four hundred twenty-one billion, thirty-four million, three hundred twenty-two thousand, four hundred".