4789916759040 has 1056 divisors, whose sum is σ = 18271012902912. Its totient is φ = 1049075712000.

The previous prime is 4789916759029. The next prime is 4789916759063. The reversal of 4789916759040 is 409576199874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15602334567 + ... + 15602334873.

It is an arithmetic number, because the mean of its divisors is an integer number (17302095552).

Almost surely, 2^{4789916759040} is an apocalyptic number.

4789916759040 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 4789916759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135506451456).

4789916759040 is an abundant number, since it is smaller than the sum of its proper divisors (13481096143872).

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

4789916759040 is a wasteful number, since it uses less digits than its factorization.

4789916759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 69.

The spelling of 4789916759040 in words is "four trillion, seven hundred eighty-nine billion, nine hundred sixteen million, seven hundred fifty-nine thousand, forty".