23450334002400 has 288 divisors, whose sum is σ = 77490665280000. Its totient is φ = 6158596147200.

The previous prime is 23450334002383. The next prime is 23450334002411. The reversal of 23450334002400 is 420043305432.

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 47 ways as a sum of consecutive naturals, for example, 156522726 + ... + 156672474.

It is an arithmetic number, because the mean of its divisors is an integer number (269064810000).

Almost surely, 2^{23450334002400} is an apocalyptic number.

23450334002400 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 23450334002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38745332640000).

23450334002400 is an abundant number, since it is smaller than the sum of its proper divisors (54040331277600).

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

23450334002400 is a wasteful number, since it uses less digits than its factorization.

23450334002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150762 (or 150749 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 23450334002400 its reverse (420043305432), we get a palindrome (23870377307832).

The spelling of 23450334002400 in words is "twenty-three trillion, four hundred fifty billion, three hundred thirty-four million, two thousand, four hundred".