4011403114240 has 144 divisors (see below), whose sum is σ = 9629592235200. Its totient is φ = 1601054539776.

The previous prime is 4011403114153. The next prime is 4011403114283. The reversal of 4011403114240 is 424113041104.

4011403114240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602636829 + ... + 1602639331.

It is an arithmetic number, because the mean of its divisors is an integer number (66872168300).

Almost surely, 2^{4011403114240} is an apocalyptic number.

4011403114240 is a gapful number since it is divisible by the number (40) 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 4011403114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814796117600).

4011403114240 is an abundant number, since it is smaller than the sum of its proper divisors (5618189120960).

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

4011403114240 is a wasteful number, since it uses less digits than its factorization.

4011403114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 4011403114240 its reverse (424113041104), we get a palindrome (4435516155344).

The spelling of 4011403114240 in words is "four trillion, eleven billion, four hundred three million, one hundred fourteen thousand, two hundred forty".