4299968106720 has 1152 divisors, whose sum is σ = 18208771176960. Its totient is φ = 908449136640.

The previous prime is 4299968106713. The next prime is 4299968106727. The reversal of 4299968106720 is 276018699924.

4299968106720 is a `hidden beast` number, since 429 + 99 + 68 + 1 + 0 + 67 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4299968106713) and next prime (4299968106727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4299968106727) 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 191 ways as a sum of consecutive naturals, for example, 1240254427 + ... + 1240257893.

It is an arithmetic number, because the mean of its divisors is an integer number (15806224980).

Almost surely, 2^{4299968106720} is an apocalyptic number.

4299968106720 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 4299968106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104385588480).

4299968106720 is an abundant number, since it is smaller than the sum of its proper divisors (13908803070240).

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

4299968106720 is a wasteful number, since it uses less digits than its factorization.

4299968106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 4299968106720 in words is "four trillion, two hundred ninety-nine billion, nine hundred sixty-eight million, one hundred six thousand, seven hundred twenty".