1821532446240 has 1152 divisors, whose sum is σ = 6792608325888. Its totient is φ = 407385538560.

The previous prime is 1821532446203. The next prime is 1821532446271. The reversal of 1821532446240 is 426442351281.

It is a junction number, because it is equal to n+sod(n) for n = 1821532446192 and 1821532446201.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5819592324 + ... + 5819592636.

It is an arithmetic number, because the mean of its divisors is an integer number (5896361394).

Almost surely, 2^{1821532446240} is an apocalyptic number.

1821532446240 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 1821532446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396304162944).

1821532446240 is an abundant number, since it is smaller than the sum of its proper divisors (4971075879648).

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

1821532446240 is a wasteful number, since it uses less digits than its factorization.

1821532446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 1821532446240 in words is "one trillion, eight hundred twenty-one billion, five hundred thirty-two million, four hundred forty-six thousand, two hundred forty".