4991754240 has 336 divisors, whose sum is σ = 18892089216. Its totient is φ = 1209139200.

The previous prime is 4991754221. The next prime is 4991754247. The reversal of 4991754240 is 424571994.

4991754240 is a `hidden beast` number, since 4 + 99 + 17 + 542 + 4 + 0 = 666.

It is a super-2 number, since 2×4991754240² = 49835220785115955200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4991754247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054425 + ... + 4055655.

It is an arithmetic number, because the mean of its divisors is an integer number (56226456).

Almost surely, 2^4991754240 is an apocalyptic number.

4991754240 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 4991754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446044608).

4991754240 is an abundant number, since it is smaller than the sum of its proper divisors (13900334976).

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

4991754240 is a wasteful number, since it uses less digits than its factorization.

4991754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4991754240 is about 70652.3477316925. The cubic root of 4991754240 is about 1709.0354260491.

It can be divided in two parts, 4991754 and 240, that added together give a palindrome (4991994).

The spelling of 4991754240 in words is "four billion, nine hundred ninety-one million, seven hundred fifty-four thousand, two hundred forty".