11434032240 has 160 divisors (see below), whose sum is σ = 35902612800. Its totient is φ = 3009945600.

The previous prime is 11434032191. The next prime is 11434032241. The reversal of 11434032240 is 4223043411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11434032240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434032241) 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, 13792146 + ... + 13792974.

It is an arithmetic number, because the mean of its divisors is an integer number (224391330).

Almost surely, 2^11434032240 is an apocalyptic number.

11434032240 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 11434032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17951306400).

11434032240 is an abundant number, since it is smaller than the sum of its proper divisors (24468580560).

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

11434032240 is a wasteful number, since it uses less digits than its factorization.

11434032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11434032240 its reverse (4223043411), we get a palindrome (15657075651).

The spelling of 11434032240 in words is "eleven billion, four hundred thirty-four million, thirty-two thousand, two hundred forty".