11240133432000 has 896 divisors, whose sum is σ = 42279708257280. Its totient is φ = 2606141440000.

The previous prime is 11240133431983. The next prime is 11240133432013. The reversal of 11240133432000 is 23433104211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 819185140 + ... + 819198860.

Almost surely, 2^{11240133432000} is an apocalyptic number.

11240133432000 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 11240133432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139854128640).

11240133432000 is an abundant number, since it is smaller than the sum of its proper divisors (31039574825280).

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

11240133432000 is a wasteful number, since it uses less digits than its factorization.

11240133432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898 (or 13878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11240133432000 its reverse (23433104211), we get a palindrome (11263566536211).

The spelling of 11240133432000 in words is "eleven trillion, two hundred forty billion, one hundred thirty-three million, four hundred thirty-two thousand".