4916039790816 has 768 divisors, whose sum is σ = 18661205606400. Its totient is φ = 1221773414400.

The previous prime is 4916039790811. The next prime is 4916039790817. The reversal of 4916039790816 is 6180979306194.

4916039790816 is a `hidden beast` number, since 4 + 9 + 1 + 603 + 9 + 7 + 9 + 0 + 8 + 16 = 666.

It is a super-3 number, since 3×4916039790816³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4916039790811) 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 127 ways as a sum of consecutive naturals, for example, 183537361 + ... + 183564143.

It is an arithmetic number, because the mean of its divisors is an integer number (24298444800).

Almost surely, 2^{4916039790816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4916039790816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330602803200).

4916039790816 is an abundant number, since it is smaller than the sum of its proper divisors (13745165815584).

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

4916039790816 is a wasteful number, since it uses less digits than its factorization.

4916039790816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26940 (or 26926 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 4916039790816 in words is "four trillion, nine hundred sixteen billion, thirty-nine million, seven hundred ninety thousand, eight hundred sixteen".