4307998556160 has 1680 divisors, whose sum is σ = 17328405911040. Its totient is φ = 1020489891840.

The previous prime is 4307998556159. The next prime is 4307998556167. The reversal of 4307998556160 is 616558997034.

4307998556160 is a `hidden beast` number, since 4 + 3 + 0 + 7 + 9 + 9 + 8 + 5 + 5 + 616 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4307998556167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24067030951 + ... + 24067031129.

It is an arithmetic number, because the mean of its divisors is an integer number (10314527328).

Almost surely, 2^{4307998556160} is an apocalyptic number.

4307998556160 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 4307998556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664202955520).

4307998556160 is an abundant number, since it is smaller than the sum of its proper divisors (13020407354880).

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

4307998556160 is an equidigital number, since it uses as much as digits as its factorization.

4307998556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 4307998556160 in words is "four trillion, three hundred seven billion, nine hundred ninety-eight million, five hundred fifty-six thousand, one hundred sixty".