23442223200400 has 120 divisors (see below), whose sum is σ = 58228867225088. Its totient is φ = 9060024960000.

The previous prime is 23442223200373. The next prime is 23442223200443. The reversal of 23442223200400 is 400232224432.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6326380 + ... + 9322420.

Almost surely, 2^{23442223200400} is an apocalyptic number.

23442223200400 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 23442223200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29114433612544).

23442223200400 is an abundant number, since it is smaller than the sum of its proper divisors (34786644024688).

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

23442223200400 is a wasteful number, since it uses less digits than its factorization.

23442223200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996721 (or 2996710 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 23442223200400 its reverse (400232224432), we get a palindrome (23842455424832).

The spelling of 23442223200400 in words is "twenty-three trillion, four hundred forty-two billion, two hundred twenty-three million, two hundred thousand, four hundred".