3085109821440 has 704 divisors, whose sum is σ = 11632647712320. Its totient is φ = 773094113280.

The previous prime is 3085109821411. The next prime is 3085109821477. The reversal of 3085109821440 is 441289015803.

3085109821440 is a `hidden beast` number, since 3 + 0 + 8 + 510 + 9 + 82 + 14 + 40 = 666.

It is a super-2 number, since 2×3085109821440² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4812963520 + ... + 4812964160.

Almost surely, 2^{3085109821440} is an apocalyptic number.

3085109821440 is a gapful number since it is divisible by the number (30) 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 3085109821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816323856160).

3085109821440 is an abundant number, since it is smaller than the sum of its proper divisors (8547537890880).

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

3085109821440 is an frugal number, since it uses more digits than its factorization.

3085109821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3085109821440 in words is "three trillion, eighty-five billion, one hundred nine million, eight hundred twenty-one thousand, four hundred forty".