4056516440 has 32 divisors (see below), whose sum is σ = 9523997280. Its totient is φ = 1552058112.

The previous prime is 4056516419. The next prime is 4056516449. The reversal of 4056516440 is 446156504.

4056516440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4056516440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056516449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2203709 + ... + 2205548.

It is an arithmetic number, because the mean of its divisors is an integer number (297624915).

Almost surely, 2^4056516440 is an apocalyptic number.

4056516440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4056516440 is an abundant number, since it is smaller than the sum of its proper divisors (5467480840).

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

4056516440 is a wasteful number, since it uses less digits than its factorization.

4056516440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409291 (or 4409287 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 4056516440 is about 63690.7877169061. The cubic root of 4056516440 is about 1594.8423031756.

The spelling of 4056516440 in words is "four billion, fifty-six million, five hundred sixteen thousand, four hundred forty".