11430314040 has 128 divisors (see below), whose sum is σ = 35529710400. Its totient is φ = 2938306560.

The previous prime is 11430314023. The next prime is 11430314053. The reversal of 11430314040 is 4041303411.

It is a super-2 number, since 2×11430314040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11430313998 and 11430314016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2548600 + ... + 2553080.

Almost surely, 2^11430314040 is an apocalyptic number.

11430314040 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 11430314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764855200).

11430314040 is an abundant number, since it is smaller than the sum of its proper divisors (24099396360).

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

11430314040 is a wasteful number, since it uses less digits than its factorization.

11430314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11430314040 its reverse (4041303411), we get a palindrome (15471617451).

The spelling of 11430314040 in words is "eleven billion, four hundred thirty million, three hundred fourteen thousand, forty".