4996319040 has 672 divisors, whose sum is σ = 19770791040. Its totient is φ = 1150156800.

The previous prime is 4996319039. The next prime is 4996319077. The reversal of 4996319040 is 409136994.

4996319040 is a `hidden beast` number, since 4 + 9 + 9 + 631 + 9 + 0 + 4 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38139775 + ... + 38139905.

It is an arithmetic number, because the mean of its divisors is an integer number (29420820).

Almost surely, 2^4996319040 is an apocalyptic number.

4996319040 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 4996319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885395520).

4996319040 is an abundant number, since it is smaller than the sum of its proper divisors (14774472000).

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

4996319040 is a wasteful number, since it uses less digits than its factorization.

4996319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 4996319040 is about 70684.6450086580. The cubic root of 4996319040 is about 1709.5562201227.

The spelling of 4996319040 in words is "four billion, nine hundred ninety-six million, three hundred nineteen thousand, forty".