4056816960 has 672 divisors, whose sum is σ = 17174626560. Its totient is φ = 891813888.

The previous prime is 4056816943. The next prime is 4056816971. The reversal of 4056816960 is 696186504.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15785152 + ... + 15785408.

It is an arithmetic number, because the mean of its divisors is an integer number (25557480).

Almost surely, 2^4056816960 is an apocalyptic number.

4056816960 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 4056816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587313280).

4056816960 is an abundant number, since it is smaller than the sum of its proper divisors (13117809600).

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

4056816960 is a wasteful number, since it uses less digits than its factorization.

4056816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4056816960 is about 63693.1468841036. The cubic root of 4056816960 is about 1594.8816859137.

The spelling of 4056816960 in words is "four billion, fifty-six million, eight hundred sixteen thousand, nine hundred sixty".