1082440719360 has 2112 divisors, whose sum is σ = 5205121818624. Its totient is φ = 200658124800.

The previous prime is 1082440719359. The next prime is 1082440719397. The reversal of 1082440719360 is 639170442801.

1082440719360 is a `hidden beast` number, since 1 + 0 + 82 + 440 + 71 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1429908102 + ... + 1429908858.

Almost surely, 2^{1082440719360} is an apocalyptic number.

1082440719360 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 1082440719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602560909312).

1082440719360 is an abundant number, since it is smaller than the sum of its proper divisors (4122681099264).

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

1082440719360 is a wasteful number, since it uses less digits than its factorization.

1082440719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1082440719360 in words is "one trillion, eighty-two billion, four hundred forty million, seven hundred nineteen thousand, three hundred sixty".