23044214202400 has 144 divisors (see below), whose sum is σ = 56489100403680. Its totient is φ = 9179671193600.

The previous prime is 23044214202397. The next prime is 23044214202403. The reversal of 23044214202400 is 420241244032.

It is an interprime number because it is at equal distance from previous prime (23044214202397) and next prime (23044214202403).

It is not an unprimeable number, because it can be changed into a prime (23044214202403) 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 23 ways as a sum of consecutive naturals, for example, 224527095 + ... + 224629705.

It is an arithmetic number, because the mean of its divisors is an integer number (392285419470).

Almost surely, 2^{23044214202400} is an apocalyptic number.

23044214202400 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 23044214202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28244550201840).

23044214202400 is an abundant number, since it is smaller than the sum of its proper divisors (33444886201280).

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

23044214202400 is a wasteful number, since it uses less digits than its factorization.

23044214202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103787 (or 103774 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 23044214202400 its reverse (420241244032), we get a palindrome (23464455446432).

The spelling of 23044214202400 in words is "twenty-three trillion, forty-four billion, two hundred fourteen million, two hundred two thousand, four hundred".