4316179882240 has 144 divisors (see below), whose sum is σ = 10805748000768. Its totient is φ = 1648707084288.

The previous prime is 4316179882229. The next prime is 4316179882271. The reversal of 4316179882240 is 422889716134.

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 15 ways as a sum of consecutive naturals, for example, 17927137 + ... + 18166303.

It is an arithmetic number, because the mean of its divisors is an integer number (75039916672).

Almost surely, 2^{4316179882240} is an apocalyptic number.

4316179882240 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 4316179882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402874000384).

4316179882240 is an abundant number, since it is smaller than the sum of its proper divisors (6489568118528).

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

4316179882240 is a wasteful number, since it uses less digits than its factorization.

4316179882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239824 (or 239810 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 4316179882240 in words is "four trillion, three hundred sixteen billion, one hundred seventy-nine million, eight hundred eighty-two thousand, two hundred forty".