4834054331040 has 1152 divisors, whose sum is σ = 18778569707520. Its totient is φ = 1037976698880.

The previous prime is 4834054331033. The next prime is 4834054331047. The reversal of 4834054331040 is 401334504384.

It is an interprime number because it is at equal distance from previous prime (4834054331033) and next prime (4834054331047).

It is a self number, because there is not a number n which added to its sum of digits gives 4834054331040.

It is not an unprimeable number, because it can be changed into a prime (4834054331047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3132892509 + ... + 3132894051.

It is an arithmetic number, because the mean of its divisors is an integer number (16300841760).

Almost surely, 2^{4834054331040} is an apocalyptic number.

4834054331040 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 4834054331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389284853760).

4834054331040 is an abundant number, since it is smaller than the sum of its proper divisors (13944515376480).

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

4834054331040 is a wasteful number, since it uses less digits than its factorization.

4834054331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 4834054331040 in words is "four trillion, eight hundred thirty-four billion, fifty-four million, three hundred thirty-one thousand, forty".