4011403231440 has 960 divisors, whose sum is σ = 15745186529280. Its totient is φ = 905651712000.

The previous prime is 4011403231399. The next prime is 4011403231441. The reversal of 4011403231440 is 441323041104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011403231441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2726989905 + ... + 2726991375.

It is an arithmetic number, because the mean of its divisors is an integer number (16401235968).

Almost surely, 2^{4011403231440} is an apocalyptic number.

4011403231440 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 4011403231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872593264640).

4011403231440 is an abundant number, since it is smaller than the sum of its proper divisors (11733783297840).

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

4011403231440 is a wasteful number, since it uses less digits than its factorization.

4011403231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4011403231440 its reverse (441323041104), we get a palindrome (4452726272544).

The spelling of 4011403231440 in words is "four trillion, eleven billion, four hundred three million, two hundred thirty-one thousand, four hundred forty".