1819207488400 has 135 divisors (see below), whose sum is σ = 4644036823539. Its totient is φ = 684705469440.

The previous prime is 1819207488377. The next prime is 1819207488403. The reversal of 1819207488400 is 48847029181.

The square root of 1819207488400 is 1348780.

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 42553088656 + 1776654399744 = 206284^2 + 1332912^2 .

It is a super-2 number, since 2×1819207488400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1819207488403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 458583217 + ... + 458587183.

Almost surely, 2^{1819207488400} is an apocalyptic number.

1819207488400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1819207488400 is the 1348780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1819207488400

1819207488400 is an abundant number, since it is smaller than the sum of its proper divisors (2824829335139).

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

1819207488400 is an frugal number, since it uses more digits than its factorization.

1819207488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 1819207488400 in words is "one trillion, eight hundred nineteen billion, two hundred seven million, four hundred eighty-eight thousand, four hundred".