4933913040 has 320 divisors, whose sum is σ = 19541606400. Its totient is φ = 1120836096.

The previous prime is 4933913029. The next prime is 4933913053. The reversal of 4933913040 is 403193394.

4933913040 is a `hidden beast` number, since 493 + 39 + 130 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4933912986 and 4933913004.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2705569 + ... + 2707391.

It is an arithmetic number, because the mean of its divisors is an integer number (61067520).

Almost surely, 2^4933913040 is an apocalyptic number.

4933913040 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 4933913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770803200).

4933913040 is an abundant number, since it is smaller than the sum of its proper divisors (14607693360).

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

4933913040 is a wasteful number, since it uses less digits than its factorization.

4933913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4933913040 is about 70241.8183135944. The cubic root of 4933913040 is about 1702.4087008814.

The spelling of 4933913040 in words is "four billion, nine hundred thirty-three million, nine hundred thirteen thousand, forty".