11132434306240 has 224 divisors, whose sum is σ = 29797249950720. Its totient is φ = 3930699902976.

The previous prime is 11132434306141. The next prime is 11132434306289. The reversal of 11132434306240 is 4260343423111.

11132434306240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11132434306196 and 11132434306205.

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, 432365047 + ... + 432390793.

It is an arithmetic number, because the mean of its divisors is an integer number (133023437280).

Almost surely, 2^{11132434306240} is an apocalyptic number.

11132434306240 is a gapful number since it is divisible by the number (10) 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 11132434306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898624975360).

11132434306240 is an abundant number, since it is smaller than the sum of its proper divisors (18664815644480).

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

11132434306240 is a wasteful number, since it uses less digits than its factorization.

11132434306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30319 (or 30309 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 11132434306240 its reverse (4260343423111), we get a palindrome (15392777729351).

The spelling of 11132434306240 in words is "eleven trillion, one hundred thirty-two billion, four hundred thirty-four million, three hundred six thousand, two hundred forty".