4991360640 has 512 divisors, whose sum is σ = 19336458240. Its totient is φ = 1070530560.

The previous prime is 4991360639. The next prime is 4991360641. The reversal of 4991360640 is 460631994.

It is an interprime number because it is at equal distance from previous prime (4991360639) and next prime (4991360641).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4991360592 and 4991360601.

It is not an unprimeable number, because it can be changed into a prime (4991360641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20710920 + ... + 20711160.

It is an arithmetic number, because the mean of its divisors is an integer number (37766520).

Almost surely, 2^4991360640 is an apocalyptic number.

4991360640 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 4991360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668229120).

4991360640 is an abundant number, since it is smaller than the sum of its proper divisors (14345097600).

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

4991360640 is a wasteful number, since it uses less digits than its factorization.

4991360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 4991360640 is about 70649.5622067115. The cubic root of 4991360640 is about 1708.9905057003.

The spelling of 4991360640 in words is "four billion, nine hundred ninety-one million, three hundred sixty thousand, six hundred forty".