11391431040 has 384 divisors, whose sum is σ = 43214446080. Its totient is φ = 2742128640.

The previous prime is 11391431017. The next prime is 11391431041. The reversal of 11391431040 is 4013419311.

11391431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×11391431040³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11391430995 and 11391431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11391431041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10327129 + ... + 10328231.

It is an arithmetic number, because the mean of its divisors is an integer number (112537620).

Almost surely, 2^11391431040 is an apocalyptic number.

11391431040 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 11391431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607223040).

11391431040 is an abundant number, since it is smaller than the sum of its proper divisors (31823015040).

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

11391431040 is a wasteful number, since it uses less digits than its factorization.

11391431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11391431040 in words is "eleven billion, three hundred ninety-one million, four hundred thirty-one thousand, forty".