4131023624 has 128 divisors (see below), whose sum is σ = 10137657600. Its totient is φ = 1532390400.

The previous prime is 4131023569. The next prime is 4131023641. The reversal of 4131023624 is 4263201314.

4131023624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4131023593 and 4131023602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395554 + ... + 1398510.

It is an arithmetic number, because the mean of its divisors is an integer number (79200450).

Almost surely, 2^4131023624 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 4131023624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068828800).

4131023624 is an abundant number, since it is smaller than the sum of its proper divisors (6006633976).

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

4131023624 is a wasteful number, since it uses less digits than its factorization.

4131023624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4131023624 is about 64273.0396356046. The cubic root of 4131023624 is about 1604.5474310085.

Adding to 4131023624 its reverse (4263201314), we get a palindrome (8394224938).

The spelling of 4131023624 in words is "four billion, one hundred thirty-one million, twenty-three thousand, six hundred twenty-four".