31434320112440 has 128 divisors (see below), whose sum is σ = 82425303423360. Its totient is φ = 10565263048704.

The previous prime is 31434320112413. The next prime is 31434320112443. The reversal of 31434320112440 is 4421102343413.

It is a junction number, because it is equal to n+sod(n) for n = 31434320112397 and 31434320112406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434320112443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16816352 + ... + 18591888.

It is an arithmetic number, because the mean of its divisors is an integer number (643947682995).

Almost surely, 2^{31434320112440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434320112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212651711680).

31434320112440 is an abundant number, since it is smaller than the sum of its proper divisors (50990983310920).

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

31434320112440 is a wasteful number, since it uses less digits than its factorization.

31434320112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776801 (or 1776797 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 31434320112440 its reverse (4421102343413), we get a palindrome (35855422455853).

The spelling of 31434320112440 in words is "thirty-one trillion, four hundred thirty-four billion, three hundred twenty million, one hundred twelve thousand, four hundred forty".