4331431131440 has 80 divisors (see below), whose sum is σ = 11524557619200. Its totient is φ = 1483084512000.

The previous prime is 4331431131427. The next prime is 4331431131449. The reversal of 4331431131440 is 441311341334.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4331431131440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4331431131397 and 4331431131406.

It is not an unprimeable number, because it can be changed into a prime (4331431131449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4729040 + ... + 5570159.

It is an arithmetic number, because the mean of its divisors is an integer number (144056970240).

Almost surely, 2^{4331431131440} is an apocalyptic number.

4331431131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4331431131440 is an abundant number, since it is smaller than the sum of its proper divisors (7193126487760).

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

4331431131440 is a wasteful number, since it uses less digits than its factorization.

4331431131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299970 (or 10299964 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 4331431131440 its reverse (441311341334), we get a palindrome (4772742472774).

The spelling of 4331431131440 in words is "four trillion, three hundred thirty-one billion, four hundred thirty-one million, one hundred thirty-one thousand, four hundred forty".