4115142416 has 80 divisors (see below), whose sum is σ = 9963588480. Its totient is φ = 1599575040.

The previous prime is 4115142413. The next prime is 4115142419. The reversal of 4115142416 is 6142415114.

It is an interprime number because it is at equal distance from previous prime (4115142413) and next prime (4115142419).

It is not an unprimeable number, because it can be changed into a prime (4115142413) by changing a digit.

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, 559370 + ... + 566678.

It is an arithmetic number, because the mean of its divisors is an integer number (124544856).

Almost surely, 2^4115142416 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 4115142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981794240).

4115142416 is an abundant number, since it is smaller than the sum of its proper divisors (5848446064).

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

4115142416 is a wasteful number, since it uses less digits than its factorization.

4115142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7786 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 4115142416 is about 64149.3758036662. The cubic root of 4115142416 is about 1602.4886292792.

The spelling of 4115142416 in words is "four billion, one hundred fifteen million, one hundred forty-two thousand, four hundred sixteen".