4791936240 has 320 divisors, whose sum is σ = 20315366400. Its totient is φ = 1011004416.

The previous prime is 4791936229. The next prime is 4791936241. The reversal of 4791936240 is 426391974.

It is a happy number.

4791936240 is a `hidden beast` number, since 4 + 7 + 9 + 19 + 3 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791936241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184371 + ... + 208749.

It is an arithmetic number, because the mean of its divisors is an integer number (63485520).

Almost surely, 2^4791936240 is an apocalyptic number.

4791936240 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 4791936240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10157683200).

4791936240 is an abundant number, since it is smaller than the sum of its proper divisors (15523430160).

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

4791936240 is a wasteful number, since it uses less digits than its factorization.

4791936240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24421 (or 24409 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4791936240 is about 69223.8126658739. The cubic root of 4791936240 is about 1685.9201846691.

The spelling of 4791936240 in words is "four billion, seven hundred ninety-one million, nine hundred thirty-six thousand, two hundred forty".