4131322330440 has 128 divisors (see below), whose sum is σ = 12581346672000. Its totient is φ = 1085036249088.

The previous prime is 4131322330423. The next prime is 4131322330453. The reversal of 4131322330440 is 440332231314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4131322330398 and 4131322330407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44728626 + ... + 44820894.

It is an arithmetic number, because the mean of its divisors is an integer number (98291770875).

Almost surely, 2^{4131322330440} is an apocalyptic number.

4131322330440 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 4131322330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290673336000).

4131322330440 is an abundant number, since it is smaller than the sum of its proper divisors (8450024341560).

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

4131322330440 is a wasteful number, since it uses less digits than its factorization.

4131322330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97919 (or 97915 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4131322330440 its reverse (440332231314), we get a palindrome (4571654561754).

The spelling of 4131322330440 in words is "four trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred thirty thousand, four hundred forty".