4933960416 has 288 divisors, whose sum is σ = 17579068416. Its totient is φ = 1275264000.

The previous prime is 4933960379. The next prime is 4933960433. The reversal of 4933960416 is 6140693394.

4933960416 is a `hidden beast` number, since 4 + 9 + 3 + 39 + 604 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6009286 + ... + 6010106.

It is an arithmetic number, because the mean of its divisors is an integer number (61038432).

Almost surely, 2^4933960416 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 4933960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8789534208).

4933960416 is an abundant number, since it is smaller than the sum of its proper divisors (12645108000).

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

4933960416 is a wasteful number, since it uses less digits than its factorization.

4933960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 4933960416 is about 70242.1555477905. The cubic root of 4933960416 is about 1702.4141497719.

The spelling of 4933960416 in words is "four billion, nine hundred thirty-three million, nine hundred sixty thousand, four hundred sixteen".