4120959338496 has 2880 divisors, whose sum is σ = 17548990018560. Its totient is φ = 933697290240.

The previous prime is 4120959338449. The next prime is 4120959338543. The reversal of 4120959338496 is 6948339590214.

4120959338496 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 9 + 593 + 38 + 4 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4120959338449) and next prime (4120959338543).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 49650112471 + ... + 49650112553.

It is an arithmetic number, because the mean of its divisors is an integer number (6093399312).

Almost surely, 2^{4120959338496} is an apocalyptic number.

4120959338496 is a gapful number since it is divisible by the number (46) 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 4120959338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774495009280).

4120959338496 is an abundant number, since it is smaller than the sum of its proper divisors (13428030680064).

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

4120959338496 is a wasteful number, since it uses less digits than its factorization.

4120959338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 4120959338496 in words is "four trillion, one hundred twenty billion, nine hundred fifty-nine million, three hundred thirty-eight thousand, four hundred ninety-six".