11340434121040 has 160 divisors (see below), whose sum is σ = 27018200581632. Its totient is φ = 4425523200000.

The previous prime is 11340434120999. The next prime is 11340434121097. The reversal of 11340434121040 is 4012143404311.

It is a super-4 number, since 4×11340434121040⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404987040 + ... + 405015040.

Almost surely, 2^{11340434121040} is an apocalyptic number.

11340434121040 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 11340434121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509100290816).

11340434121040 is an abundant number, since it is smaller than the sum of its proper divisors (15677766460592).

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

11340434121040 is a wasteful number, since it uses less digits than its factorization.

11340434121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829 (or 28823 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11340434121040 its reverse (4012143404311), we get a palindrome (15352577525351).

The spelling of 11340434121040 in words is "eleven trillion, three hundred forty billion, four hundred thirty-four million, one hundred twenty-one thousand, forty".