4317383940480 has 768 divisors, whose sum is σ = 16312070960640. Its totient is φ = 1045811036160.

The previous prime is 4317383940479. The next prime is 4317383940481. The reversal of 4317383940480 is 840493837134.

4317383940480 is a `hidden beast` number, since 4 + 3 + 1 + 73 + 8 + 3 + 94 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4317383940479) and next prime (4317383940481).

It is a super-2 number, since 2×4317383940480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4317383940481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4356592785 + ... + 4356593775.

It is an arithmetic number, because the mean of its divisors is an integer number (21239675730).

Almost surely, 2^{4317383940480} is an apocalyptic number.

4317383940480 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 4317383940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156035480320).

4317383940480 is an abundant number, since it is smaller than the sum of its proper divisors (11994687020160).

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

4317383940480 is a wasteful number, since it uses less digits than its factorization.

4317383940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4317383940480 in words is "four trillion, three hundred seventeen billion, three hundred eighty-three million, nine hundred forty thousand, four hundred eighty".