5682315421440 has 2016 divisors, whose sum is σ = 25068228022656. Its totient is φ = 1203948748800.

The previous prime is 5682315421429. The next prime is 5682315421483. The reversal of 5682315421440 is 441245132865.

5682315421440 is a `hidden beast` number, since 5 + 6 + 82 + 315 + 4 + 214 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 223 ways as a sum of consecutive naturals, for example, 8106013090 + ... + 8106013790.

It is an arithmetic number, because the mean of its divisors is an integer number (12434636916).

Almost surely, 2^{5682315421440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5682315421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534114011328).

5682315421440 is an abundant number, since it is smaller than the sum of its proper divisors (19385912601216).

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

5682315421440 is an equidigital number, since it uses as much as digits as its factorization.

5682315421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5682315421440 in words is "five trillion, six hundred eighty-two billion, three hundred fifteen million, four hundred twenty-one thousand, four hundred forty".