1482096439040 has 288 divisors, whose sum is σ = 4201104821760. Its totient is φ = 490162176000.

The previous prime is 1482096439013. The next prime is 1482096439091. The reversal of 1482096439040 is 409346902841.

It is a super-2 number, since 2×1482096439040² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1482096439040.

It is a congruent number.

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, 377025875 + ... + 377029805.

It is an arithmetic number, because the mean of its divisors is an integer number (14587169520).

Almost surely, 2^{1482096439040} is an apocalyptic number.

1482096439040 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 1482096439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100552410880).

1482096439040 is an abundant number, since it is smaller than the sum of its proper divisors (2719008382720).

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

1482096439040 is a wasteful number, since it uses less digits than its factorization.

1482096439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 1482096439040 in words is "one trillion, four hundred eighty-two billion, ninety-six million, four hundred thirty-nine thousand, forty".