2231431004440 has 128 divisors (see below), whose sum is σ = 5829700792320. Its totient is φ = 759699404800.

The previous prime is 2231431004431. The next prime is 2231431004441. The reversal of 2231431004440 is 444001341322.

It is a super-3 number, since 3×2231431004440³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231431004399 and 2231431004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231431004441) 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, 647739 + ... + 2209621.

It is an arithmetic number, because the mean of its divisors is an integer number (45544537440).

Almost surely, 2^{2231431004440} is an apocalyptic number.

2231431004440 is a gapful number since it is divisible by the number (20) 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 2231431004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914850396160).

2231431004440 is an abundant number, since it is smaller than the sum of its proper divisors (3598269787880).

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

2231431004440 is a wasteful number, since it uses less digits than its factorization.

2231431004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562113 (or 1562109 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2231431004440 its reverse (444001341322), we get a palindrome (2675432345762).

The spelling of 2231431004440 in words is "two trillion, two hundred thirty-one billion, four hundred thirty-one million, four thousand, four hundred forty".