4113671313024 has 1152 divisors, whose sum is σ = 15759209793600. Its totient is φ = 1017373851648.

The previous prime is 4113671313013. The next prime is 4113671313047. The reversal of 4113671313024 is 4203131763114.

4113671313024 is a `hidden beast` number, since 411 + 3 + 67 + 131 + 30 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4113671313024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5227027959 + ... + 5227028745.

Almost surely, 2^{4113671313024} 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 4113671313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879604896800).

4113671313024 is an abundant number, since it is smaller than the sum of its proper divisors (11645538480576).

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

4113671313024 is a wasteful number, since it uses less digits than its factorization.

4113671313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 4113671313024 in words is "four trillion, one hundred thirteen billion, six hundred seventy-one million, three hundred thirteen thousand, twenty-four".