4991007444480 has 240 divisors, whose sum is σ = 17287842480480. Its totient is φ = 1330736676864.

The previous prime is 4991007444469. The next prime is 4991007444481. The reversal of 4991007444480 is 844447001994.

It is a happy number.

4991007444480 is a `hidden beast` number, since 4 + 9 + 91 + 0 + 0 + 74 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4991007444481) 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 23 ways as a sum of consecutive naturals, for example, 218384734 + ... + 218407586.

It is an arithmetic number, because the mean of its divisors is an integer number (72032677002).

Almost surely, 2^{4991007444480} is an apocalyptic number.

4991007444480 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 4991007444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643921240240).

4991007444480 is an abundant number, since it is smaller than the sum of its proper divisors (12296835036000).

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

4991007444480 is a wasteful number, since it uses less digits than its factorization.

4991007444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32361 (or 32342 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4991007444480 in words is "four trillion, nine hundred ninety-one billion, seven million, four hundred forty-four thousand, four hundred eighty".