1820830082400 has 432 divisors, whose sum is σ = 7660496728080. Its totient is φ = 416189491200.

The previous prime is 1820830082381. The next prime is 1820830082431. The reversal of 1820830082400 is 42800380281.

It is a happy number.

1820830082400 is a `hidden beast` number, since 18 + 208 + 30 + 0 + 8 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198220 + ... + 1918580.

It is an arithmetic number, because the mean of its divisors is an integer number (17732631315).

Almost surely, 2^{1820830082400} is an apocalyptic number.

1820830082400 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 1820830082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830248364040).

1820830082400 is an abundant number, since it is smaller than the sum of its proper divisors (5839666645680).

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

1820830082400 is a wasteful number, since it uses less digits than its factorization.

1820830082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720404 (or 1720378 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1820830082400 in words is "one trillion, eight hundred twenty billion, eight hundred thirty million, eighty-two thousand, four hundred".