18419918400 has 945 divisors, whose sum is σ = 75931159161. Its totient is φ = 4377784320.

The previous prime is 18419918327. The next prime is 18419918411. The reversal of 18419918400 is 481991481.

The square root of 18419918400 is 135720.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17039647296 + 1380271104 = 130536^2 + 37152^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 635169586 + ... + 635169614.

Almost surely, 2^18419918400 is an apocalyptic number.

18419918400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18419918400 is the 135720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18419918400

18419918400 is an abundant number, since it is smaller than the sum of its proper divisors (57511240761).

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

18419918400 is a wasteful number, since it uses less digits than its factorization.

18419918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 18419918400 in words is "eighteen billion, four hundred nineteen million, nine hundred eighteen thousand, four hundred".