4729459645120 has 448 divisors, whose sum is σ = 13337587630080. Its totient is φ = 1563899904000.

The previous prime is 4729459645103. The next prime is 4729459645139. The reversal of 4729459645120 is 215469549274.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2541352990 + ... + 2541354850.

It is an arithmetic number, because the mean of its divisors is an integer number (29771400960).

Almost surely, 2^{4729459645120} is an apocalyptic number.

4729459645120 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 4729459645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668793815040).

4729459645120 is an abundant number, since it is smaller than the sum of its proper divisors (8608127984960).

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

4729459645120 is a wasteful number, since it uses less digits than its factorization.

4729459645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 4729459645120 in words is "four trillion, seven hundred twenty-nine billion, four hundred fifty-nine million, six hundred forty-five thousand, one hundred twenty".