4115016161344 has 224 divisors, whose sum is σ = 9087374499840. Its totient is φ = 1833243955200.

The previous prime is 4115016161293. The next prime is 4115016161363. The reversal of 4115016161344 is 4431616105114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6521419909 + ... + 6521420539.

It is an arithmetic number, because the mean of its divisors is an integer number (40568636160).

Almost surely, 2^{4115016161344} is an apocalyptic number.

4115016161344 is a gapful number since it is divisible by the number (44) 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 4115016161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543687249920).

4115016161344 is an abundant number, since it is smaller than the sum of its proper divisors (4972358338496).

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

4115016161344 is a wasteful number, since it uses less digits than its factorization.

4115016161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 4115016161344 in words is "four trillion, one hundred fifteen billion, sixteen million, one hundred sixty-one thousand, three hundred forty-four".