4107004440168 has 256 divisors, whose sum is σ = 11883884544000. Its totient is φ = 1158600130560.

The previous prime is 4107004440139. The next prime is 4107004440197. The reversal of 4107004440168 is 8610444007014.

It is an interprime number because it is at equal distance from previous prime (4107004440139) and next prime (4107004440197).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2878068271 + ... + 2878069697.

It is an arithmetic number, because the mean of its divisors is an integer number (46421424000).

Almost surely, 2^{4107004440168} 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 4107004440168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941942272000).

4107004440168 is an abundant number, since it is smaller than the sum of its proper divisors (7776880103832).

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

4107004440168 is a wasteful number, since it uses less digits than its factorization.

4107004440168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 4107004440168 in words is "four trillion, one hundred seven billion, four million, four hundred forty thousand, one hundred sixty-eight".