4233443131040 has 96 divisors (see below), whose sum is σ = 10275795023760. Its totient is φ = 1646972780544.

The previous prime is 4233443131037. The next prime is 4233443131081. The reversal of 4233443131040 is 401313443324.

It can be written as a sum of positive squares in 8 ways, for example, as 2716180871056 + 1517262259984 = 1648084^2 + 1231772^2 .

It is a super-2 number, since 2×4233443131040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4233443130988 and 4233443131006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15308234 + ... + 15582326.

Almost surely, 2^{4233443131040} is an apocalyptic number.

4233443131040 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 4233443131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137897511880).

4233443131040 is an abundant number, since it is smaller than the sum of its proper divisors (6042351892720).

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

4233443131040 is a wasteful number, since it uses less digits than its factorization.

4233443131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276754 (or 276746 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 4233443131040 its reverse (401313443324), we get a palindrome (4634756574364).

The spelling of 4233443131040 in words is "four trillion, two hundred thirty-three billion, four hundred forty-three million, one hundred thirty-one thousand, forty".