1821440732832 has 576 divisors, whose sum is σ = 6514008883200. Its totient is φ = 471053905920.

The previous prime is 1821440732831. The next prime is 1821440732887. The reversal of 1821440732832 is 2382370441281.

1821440732832 is a `hidden beast` number, since 1 + 8 + 214 + 407 + 3 + 28 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1821440732831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93796788 + ... + 93816204.

It is an arithmetic number, because the mean of its divisors is an integer number (11309043200).

Almost surely, 2^{1821440732832} is an apocalyptic number.

1821440732832 is a gapful number since it is divisible by the number (12) 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 1821440732832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257004441600).

1821440732832 is an abundant number, since it is smaller than the sum of its proper divisors (4692568150368).

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

1821440732832 is a wasteful number, since it uses less digits than its factorization.

1821440732832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19569 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1821440732832 in words is "one trillion, eight hundred twenty-one billion, four hundred forty million, seven hundred thirty-two thousand, eight hundred thirty-two".