4043431441000 has 384 divisors, whose sum is σ = 11656558368000. Its totient is φ = 1306228492800.

The previous prime is 4043431440967. The next prime is 4043431441003. The reversal of 4043431441000 is 1441343404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4043431441000.

It is not an unprimeable number, because it can be changed into a prime (4043431441003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75482226 + ... + 75535774.

It is an arithmetic number, because the mean of its divisors is an integer number (30355620750).

Almost surely, 2^{4043431441000} is an apocalyptic number.

4043431441000 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 4043431441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828279184000).

4043431441000 is an abundant number, since it is smaller than the sum of its proper divisors (7613126927000).

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

4043431441000 is a wasteful number, since it uses less digits than its factorization.

4043431441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53674 (or 53653 counting only the distinct ones).

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

Adding to 4043431441000 its reverse (1441343404), we get a palindrome (4044872784404).

The spelling of 4043431441000 in words is "four trillion, forty-three billion, four hundred thirty-one million, four hundred forty-one thousand".