11431140000 has 480 divisors, whose sum is σ = 45402166656. Its totient is φ = 2457600000.

The previous prime is 11431139999. The next prime is 11431140053. The reversal of 11431140000 is 4113411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139200 + ... + 7140800.

Almost surely, 2^11431140000 is an apocalyptic number.

11431140000 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 11431140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701083328).

11431140000 is an abundant number, since it is smaller than the sum of its proper divisors (33971026656).

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

11431140000 is a wasteful number, since it uses less digits than its factorization.

11431140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11431140000 its reverse (4113411), we get a palindrome (11435253411).

The spelling of 11431140000 in words is "eleven billion, four hundred thirty-one million, one hundred forty thousand".