11125434324240 has 200 divisors, whose sum is σ = 40673981103360. Its totient is φ = 2810636008704.

The previous prime is 11125434324209. The next prime is 11125434324241. The reversal of 11125434324240 is 4242343452111.

11125434324240 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 54 + 343 + 24 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11125434324195 and 11125434324204.

It is not an unprimeable number, because it can be changed into a prime (11125434324241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45058144 + ... + 45304383.

Almost surely, 2^{11125434324240} is an apocalyptic number.

11125434324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11125434324240 is an abundant number, since it is smaller than the sum of its proper divisors (29548546779120).

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

11125434324240 is a wasteful number, since it uses less digits than its factorization.

11125434324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90362571 (or 90362556 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 11125434324240 its reverse (4242343452111), we get a palindrome (15367777776351).

The spelling of 11125434324240 in words is "eleven trillion, one hundred twenty-five billion, four hundred thirty-four million, three hundred twenty-four thousand, two hundred forty".