4115440656 has 80 divisors (see below), whose sum is σ = 11825989120. Its totient is φ = 1370286720.

The previous prime is 4115440639. The next prime is 4115440673. The reversal of 4115440656 is 6560445114.

It is an interprime number because it is at equal distance from previous prime (4115440639) and next prime (4115440673).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4115440656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423306 + ... + 432918.

It is an arithmetic number, because the mean of its divisors is an integer number (147824864).

Almost surely, 2^4115440656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115440656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912994560).

4115440656 is an abundant number, since it is smaller than the sum of its proper divisors (7710548464).

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

4115440656 is a wasteful number, since it uses less digits than its factorization.

4115440656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4115440656 is about 64151.7003360004. The cubic root of 4115440656 is about 1602.5273411564.

It can be divided in two parts, 41154 and 40656, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 4115440656 in words is "four billion, one hundred fifteen million, four hundred forty thousand, six hundred fifty-six".