18200390400 has 324 divisors, whose sum is σ = 68901886872. Its totient is φ = 4567695360.

The previous prime is 18200390371. The next prime is 18200390407. The reversal of 18200390400 is 409300281.

It is not an unprimeable number, because it can be changed into a prime (18200390407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 969907 + ... + 988493.

Almost surely, 2^18200390400 is an apocalyptic number.

18200390400 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 18200390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450943436).

18200390400 is an abundant number, since it is smaller than the sum of its proper divisors (50701496472).

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

18200390400 is a wasteful number, since it uses less digits than its factorization.

18200390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18636 (or 18614 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 18200390400 its reverse (409300281), we get a palindrome (18609690681).

The spelling of 18200390400 in words is "eighteen billion, two hundred million, three hundred ninety thousand, four hundred".