4011312131440 has 160 divisors (see below), whose sum is σ = 9937687804416. Its totient is φ = 1502573276160.

The previous prime is 4011312131381. The next prime is 4011312131441. The reversal of 4011312131440 is 441312131104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011312131441) 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, 19994830 + ... + 20194450.

Almost surely, 2^{4011312131440} is an apocalyptic number.

4011312131440 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 4011312131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968843902208).

4011312131440 is an abundant number, since it is smaller than the sum of its proper divisors (5926375672976).

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

4011312131440 is a wasteful number, since it uses less digits than its factorization.

4011312131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199887 (or 199881 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 4011312131440 its reverse (441312131104), we get a palindrome (4452624262544).

The spelling of 4011312131440 in words is "four trillion, eleven billion, three hundred twelve million, one hundred thirty-one thousand, four hundred forty".