4917940355328 has 864 divisors, whose sum is σ = 17958621413376. Its totient is φ = 1162377216000.

The previous prime is 4917940355281. The next prime is 4917940355429. The reversal of 4917940355328 is 8235530497194.

It is a super-2 number, since 2×4917940355328² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600403713 + ... + 600411903.

Almost surely, 2^{4917940355328} is an apocalyptic number.

4917940355328 is a gapful number since it is divisible by the number (48) 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 4917940355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979310706688).

4917940355328 is an abundant number, since it is smaller than the sum of its proper divisors (13040681058048).

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

4917940355328 is a wasteful number, since it uses less digits than its factorization.

4917940355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 4917940355328 in words is "four trillion, nine hundred seventeen billion, nine hundred forty million, three hundred fifty-five thousand, three hundred twenty-eight".