11142434000 has 80 divisors (see below), whose sum is σ = 26991147456. Its totient is φ = 4448912000.

The previous prime is 11142433999. The next prime is 11142434021. The reversal of 11142434000 is 43424111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169255 + ... + 1178745.

Almost surely, 2^11142434000 is an apocalyptic number.

11142434000 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 11142434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495573728).

11142434000 is an abundant number, since it is smaller than the sum of its proper divisors (15848713456).

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

11142434000 is an equidigital number, since it uses as much as digits as its factorization.

11142434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11142434000 its reverse (43424111), we get a palindrome (11185858111).

The spelling of 11142434000 in words is "eleven billion, one hundred forty-two million, four hundred thirty-four thousand".