4058094171744 has 144 divisors (see below), whose sum is σ = 12148666246080. Its totient is φ = 1281389310720.

The previous prime is 4058094171727. The next prime is 4058094171757. The reversal of 4058094171744 is 4471714908504.

4058094171744 is a `hidden beast` number, since 4 + 0 + 58 + 0 + 9 + 417 + 174 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78480939 + ... + 78532629.

It is an arithmetic number, because the mean of its divisors is an integer number (84365737820).

Almost surely, 2^{4058094171744} 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 4058094171744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074333123040).

4058094171744 is an abundant number, since it is smaller than the sum of its proper divisors (8090572074336).

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

4058094171744 is a wasteful number, since it uses less digits than its factorization.

4058094171744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66073 (or 66062 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 4058094171744 in words is "four trillion, fifty-eight billion, ninety-four million, one hundred seventy-one thousand, seven hundred forty-four".