4982345303040 has 1760 divisors, whose sum is σ = 21856693478400. Its totient is φ = 1059904880640.

The previous prime is 4982345302993. The next prime is 4982345303101. The reversal of 4982345303040 is 403035432894.

4982345303040 is a `hidden beast` number, since 4 + 9 + 82 + 3 + 4 + 530 + 30 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3254307075 + ... + 3254308605.

It is an arithmetic number, because the mean of its divisors is an integer number (12418575840).

Almost surely, 2^{4982345303040} is an apocalyptic number.

4982345303040 is a gapful number since it is divisible by the number (40) 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 4982345303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928346739200).

4982345303040 is an abundant number, since it is smaller than the sum of its proper divisors (16874348175360).

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

4982345303040 is a wasteful number, since it uses less digits than its factorization.

4982345303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4982345303040 in words is "four trillion, nine hundred eighty-two billion, three hundred forty-five million, three hundred three thousand, forty".