11304114041240 has 64 divisors (see below), whose sum is σ = 26260411403520. Its totient is φ = 4374836928000.

The previous prime is 11304114041201. The next prime is 11304114041249. The reversal of 11304114041240 is 4214041140311.

It is a happy number.

It is a super-3 number, since 3×11304114041240³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304114041249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4743650 + ... + 6716430.

It is an arithmetic number, because the mean of its divisors is an integer number (410318928180).

Almost surely, 2^{11304114041240} is an apocalyptic number.

11304114041240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304114041240 is an abundant number, since it is smaller than the sum of its proper divisors (14956297362280).

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

11304114041240 is a wasteful number, since it uses less digits than its factorization.

11304114041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977444 (or 1977440 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 11304114041240 its reverse (4214041140311), we get a palindrome (15518155181551).

The spelling of 11304114041240 in words is "eleven trillion, three hundred four billion, one hundred fourteen million, forty-one thousand, two hundred forty".