11431247040 has 224 divisors, whose sum is σ = 40414407360. Its totient is φ = 3041722368.

The previous prime is 11431247029. The next prime is 11431247053. The reversal of 11431247040 is 4074213411.

11431247040 is a `hidden beast` number, since 1 + 143 + 12 + 470 + 40 = 666.

11431247040 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 11431246995 and 11431247013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4984134 + ... + 4986426.

Almost surely, 2^11431247040 is an apocalyptic number.

11431247040 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 11431247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20207203680).

11431247040 is an abundant number, since it is smaller than the sum of its proper divisors (28983160320).

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

11431247040 is a wasteful number, since it uses less digits than its factorization.

11431247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 11431247040 in words is "eleven billion, four hundred thirty-one million, two hundred forty-seven thousand, forty".