4159916040 has 256 divisors, whose sum is σ = 14870200320. Its totient is φ = 910955520.

The previous prime is 4159916039. The next prime is 4159916041. The reversal of 4159916040 is 406199514.

4159916040 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 (4159916039) and next prime (4159916041).

It is a self number, because there is not a number n which added to its sum of digits gives 4159916040.

It is not an unprimeable number, because it can be changed into a prime (4159916041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2785534 + ... + 2787026.

It is an arithmetic number, because the mean of its divisors is an integer number (58086720).

Almost surely, 2^4159916040 is an apocalyptic number.

4159916040 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 4159916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435100160).

4159916040 is an abundant number, since it is smaller than the sum of its proper divisors (10710284280).

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

4159916040 is a wasteful number, since it uses less digits than its factorization.

4159916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 4159916040 is about 64497.4111108345. The cubic root of 4159916040 is about 1608.2794834867.

The spelling of 4159916040 in words is "four billion, one hundred fifty-nine million, nine hundred sixteen thousand, forty".