11203142340432 has 480 divisors, whose sum is σ = 34406255001600. Its totient is φ = 3131610854400.

The previous prime is 11203142340413. The next prime is 11203142340443. The reversal of 11203142340432 is 23404324130211.

It is a self number, because there is not a number n which added to its sum of digits gives 11203142340432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6720540463 + ... + 6720542129.

It is an arithmetic number, because the mean of its divisors is an integer number (71679697920).

Almost surely, 2^{11203142340432} is an apocalyptic number.

11203142340432 is a gapful number since it is divisible by the number (12) 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 11203142340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203127500800).

11203142340432 is an abundant number, since it is smaller than the sum of its proper divisors (23203112661168).

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

11203142340432 is a wasteful number, since it uses less digits than its factorization.

11203142340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11203142340432 its reverse (23404324130211), we get a palindrome (34607466470643).

The spelling of 11203142340432 in words is "eleven trillion, two hundred three billion, one hundred forty-two million, three hundred forty thousand, four hundred thirty-two".