4056663840 has 192 divisors, whose sum is σ = 13341283200. Its totient is φ = 1034829824.

The previous prime is 4056663839. The next prime is 4056663841. The reversal of 4056663840 is 483666504.

4056663840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4056663839) and next prime (4056663841).

It is a super-3 number, since 3×4056663840³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4056663792 and 4056663801.

It is not an unprimeable number, because it can be changed into a prime (4056663841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571671 + ... + 1574249.

It is an arithmetic number, because the mean of its divisors is an integer number (69485850).

Almost surely, 2^4056663840 is an apocalyptic number.

4056663840 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 4056663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670641600).

4056663840 is an abundant number, since it is smaller than the sum of its proper divisors (9284619360).

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

4056663840 is a wasteful number, since it uses less digits than its factorization.

4056663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4056663840 is about 63691.9448596131. The cubic root of 4056663840 is about 1594.8616199886.

The spelling of 4056663840 in words is "four billion, fifty-six million, six hundred sixty-three thousand, eight hundred forty".