4127016960 has 768 divisors, whose sum is σ = 16982784000. Its totient is φ = 940769280.

The previous prime is 4127016931. The next prime is 4127016973. The reversal of 4127016960 is 696107214.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69949411 + ... + 69949469.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2^4127016960 is an apocalyptic number.

4127016960 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 4127016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392000).

4127016960 is an abundant number, since it is smaller than the sum of its proper divisors (12855767040).

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

4127016960 is a wasteful number, since it uses less digits than its factorization.

4127016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4127016960 is about 64241.8629866849. The cubic root of 4127016960 is about 1604.0285150703.

The spelling of 4127016960 in words is "four billion, one hundred twenty-seven million, sixteen thousand, nine hundred sixty".