4131404736 has 112 divisors (see below), whose sum is σ = 11595177216. Its totient is φ = 1293758464.

The previous prime is 4131404701. The next prime is 4131404737. The reversal of 4131404736 is 6374041314.

It is a junction number, because it is equal to n+sod(n) for n = 4131404697 and 4131404706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131404737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2894455 + ... + 2895881.

It is an arithmetic number, because the mean of its divisors is an integer number (103528368).

Almost surely, 2^4131404736 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 4131404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797588608).

4131404736 is an abundant number, since it is smaller than the sum of its proper divisors (7463772480).

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

4131404736 is a wasteful number, since it uses less digits than its factorization.

4131404736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4131404736 is about 64276.0043562137. The cubic root of 4131404736 is about 1604.5967725706.

The spelling of 4131404736 in words is "four billion, one hundred thirty-one million, four hundred four thousand, seven hundred thirty-six".