19398918400 has 81 divisors (see below), whose sum is σ = 48042949143. Its totient is φ = 7755110400.

The previous prime is 19398918397. The next prime is 19398918401. The reversal of 19398918400 is 481989391.

The square root of 19398918400 is 139280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11778326784 + 7620591616 = 108528^2 + 87296^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19398918401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11141530 + ... + 11143270.

Almost surely, 2^19398918400 is an apocalyptic number.

19398918400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19398918400 is the 139280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19398918400

19398918400 is an abundant number, since it is smaller than the sum of its proper divisors (28644030743).

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

19398918400 is an frugal number, since it uses more digits than its factorization.

19398918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The spelling of 19398918400 in words is "nineteen billion, three hundred ninety-eight million, nine hundred eighteen thousand, four hundred".