11032211340432 has 160 divisors (see below), whose sum is σ = 33427629244800. Its totient is φ = 3473986019328.

The previous prime is 11032211340383. The next prime is 11032211340439. The reversal of 11032211340432 is 23404311223011.

11032211340432 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 221 + 1 + 3 + 4 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11032211340396 and 11032211340405.

It is not an unprimeable number, because it can be changed into a prime (11032211340439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993628 + ... + 4801220.

It is an arithmetic number, because the mean of its divisors is an integer number (208922682780).

Almost surely, 2^{11032211340432} is an apocalyptic number.

11032211340432 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 11032211340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713814622400).

11032211340432 is an abundant number, since it is smaller than the sum of its proper divisors (22395417904368).

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

11032211340432 is a wasteful number, since it uses less digits than its factorization.

11032211340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807982 (or 3807970 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11032211340432 its reverse (23404311223011), we get a palindrome (34436522563443).

The spelling of 11032211340432 in words is "eleven trillion, thirty-two billion, two hundred eleven million, three hundred forty thousand, four hundred thirty-two".