1327821440 has 128 divisors (see below), whose sum is σ = 3537457920. Its totient is φ = 472453120.

The previous prime is 1327821409. The next prime is 1327821461. The reversal of 1327821440 is 441287231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1327821397 and 1327821406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328874 + ... + 332886.

It is an arithmetic number, because the mean of its divisors is an integer number (27636390).

Almost surely, 2^1327821440 is an apocalyptic number.

1327821440 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 1327821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768728960).

1327821440 is an abundant number, since it is smaller than the sum of its proper divisors (2209636480).

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

1327821440 is a wasteful number, since it uses less digits than its factorization.

1327821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1327821440 is about 36439.2842959353. The cubic root of 1327821440 is about 1099.1236656746.

The spelling of 1327821440 in words is "one billion, three hundred twenty-seven million, eight hundred twenty-one thousand, four hundred forty".