1582982682440 has 128 divisors (see below), whose sum is σ = 3642527266560. Its totient is φ = 618994151424.

The previous prime is 1582982682401. The next prime is 1582982682451. The reversal of 1582982682440 is 442862892851.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1582982682440.

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 31 ways as a sum of consecutive naturals, for example, 290826359 + ... + 290831801.

It is an arithmetic number, because the mean of its divisors is an integer number (28457244270).

Almost surely, 2^{1582982682440} is an apocalyptic number.

1582982682440 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 1582982682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821263633280).

1582982682440 is an abundant number, since it is smaller than the sum of its proper divisors (2059544584120).

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

1582982682440 is a wasteful number, since it uses less digits than its factorization.

1582982682440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 59.

The spelling of 1582982682440 in words is "one trillion, five hundred eighty-two billion, nine hundred eighty-two million, six hundred eighty-two thousand, four hundred forty".