1816214400 has 1440 divisors, whose sum is σ = 9159491880. Its totient is φ = 348364800.

The previous prime is 1816214399. The next prime is 1816214417. The reversal of 1816214400 is 44126181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 139708794 + ... + 139708806.

Almost surely, 2^1816214400 is an apocalyptic number.

1816214400 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 1816214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579745940).

1816214400 is an abundant number, since it is smaller than the sum of its proper divisors (7343277480).

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

1816214400 is a wasteful number, since it uses less digits than its factorization.

1816214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1816214400 is about 42617.0670037252. The cubic root of 1816214400 is about 1220.0820512763.

The spelling of 1816214400 in words is "one billion, eight hundred sixteen million, two hundred fourteen thousand, four hundred".