18221942400 has 192 divisors, whose sum is σ = 63178024800. Its totient is φ = 4603392000.

The previous prime is 18221942393. The next prime is 18221942411. The reversal of 18221942400 is 424912281.

It is a tau number, because it is divible by the number of its divisors (192).

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, 132450 + ... + 232350.

Almost surely, 2^18221942400 is an apocalyptic number.

18221942400 is a gapful number since it is divisible by the number (10) 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 18221942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31589012400).

18221942400 is an abundant number, since it is smaller than the sum of its proper divisors (44956082400).

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

18221942400 is a wasteful number, since it uses less digits than its factorization.

18221942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99947 (or 99930 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 18221942400 in words is "eighteen billion, two hundred twenty-one million, nine hundred forty-two thousand, four hundred".