4131179136 has 192 divisors, whose sum is σ = 13627673280. Its totient is φ = 1176735744.

The previous prime is 4131179113. The next prime is 4131179149. The reversal of 4131179136 is 6319711314.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4131179136.

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, 3765340 + ... + 3766436.

It is an arithmetic number, because the mean of its divisors is an integer number (70977465).

Almost surely, 2^4131179136 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 4131179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813836640).

4131179136 is an abundant number, since it is smaller than the sum of its proper divisors (9496494144).

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

4131179136 is a wasteful number, since it uses less digits than its factorization.

4131179136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1576 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 4131179136 is about 64274.2494005181. The cubic root of 4131179136 is about 1604.5675651021.

The spelling of 4131179136 in words is "four billion, one hundred thirty-one million, one hundred seventy-nine thousand, one hundred thirty-six".