4794099229440 has 720 divisors, whose sum is σ = 17921864733696. Its totient is φ = 1222213017600.

The previous prime is 4794099229429. The next prime is 4794099229483. The reversal of 4794099229440 is 449229904974.

4794099229440 is a `hidden beast` number, since 47 + 9 + 40 + 9 + 92 + 29 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 266759655 + ... + 266777625.

Almost surely, 2^{4794099229440} is an apocalyptic number.

4794099229440 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 4794099229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960932366848).

4794099229440 is an abundant number, since it is smaller than the sum of its proper divisors (13127765504256).

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

4794099229440 is a wasteful number, since it uses less digits than its factorization.

4794099229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18118 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 4794099229440 in words is "four trillion, seven hundred ninety-four billion, ninety-nine million, two hundred twenty-nine thousand, four hundred forty".