4130133434240 has 512 divisors, whose sum is σ = 11513902049280. Its totient is φ = 1401917440000.

The previous prime is 4130133434221. The next prime is 4130133434243. The reversal of 4130133434240 is 424343310314.

4130133434240 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 4130133434197 and 4130133434206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130133434243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161126542 + ... + 1161130098.

It is an arithmetic number, because the mean of its divisors is an integer number (22488089940).

Almost surely, 2^{4130133434240} is an apocalyptic number.

4130133434240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130133434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756951024640).

4130133434240 is an abundant number, since it is smaller than the sum of its proper divisors (7383768615040).

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

4130133434240 is a wasteful number, since it uses less digits than its factorization.

4130133434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 4130133434240 its reverse (424343310314), we get a palindrome (4554476744554).

The spelling of 4130133434240 in words is "four trillion, one hundred thirty billion, one hundred thirty-three million, four hundred thirty-four thousand, two hundred forty".