1818214400 has 180 divisors, whose sum is σ = 4729457712. Its totient is φ = 692060160.

The previous prime is 1818214399. The next prime is 1818214483. The reversal of 1818214400 is 44128181.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9420704 + ... + 9420896.

Almost surely, 2^1818214400 is an apocalyptic number.

1818214400 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 1818214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364728856).

1818214400 is an abundant number, since it is smaller than the sum of its proper divisors (2911243312).

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

1818214400 is an equidigital number, since it uses as much as digits as its factorization.

1818214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 1818214400 is about 42640.5253250942. The cubic root of 1818214400 is about 1220.5297350141.

The spelling of 1818214400 in words is "one billion, eight hundred eighteen million, two hundred fourteen thousand, four hundred".