4959995040 has 1536 divisors, whose sum is σ = 24710676480. Its totient is φ = 895795200.

The previous prime is 4959995039. The next prime is 4959995069. The reversal of 4959995040 is 405999594.

4959995040 is a `hidden beast` number, since 4 + 9 + 599 + 9 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 134053902 + ... + 134053938.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2^4959995040 is an apocalyptic number.

4959995040 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 4959995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355338240).

4959995040 is an abundant number, since it is smaller than the sum of its proper divisors (19750681440).

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

4959995040 is a wasteful number, since it uses less digits than its factorization.

4959995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 4959995040 is about 70427.2322329935. The cubic root of 4959995040 is about 1705.4032281882.

It can be divided in two parts, 4959 and 995040, that added together give a palindrome (999999).

The spelling of 4959995040 in words is "four billion, nine hundred fifty-nine million, nine hundred ninety-five thousand, forty".