4043130041440 has 384 divisors, whose sum is σ = 11498984259840. Its totient is φ = 1314629222400.

The previous prime is 4043130041437. The next prime is 4043130041443. The reversal of 4043130041440 is 441400313404.

It is a happy number.

4043130041440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4043130041437) and next prime (4043130041443).

It is a super-2 number, since 2×4043130041440² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4043130041399 and 4043130041408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043130041443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265272220 + ... + 265287460.

It is an arithmetic number, because the mean of its divisors is an integer number (29945271510).

Almost surely, 2^{4043130041440} is an apocalyptic number.

4043130041440 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 4043130041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749492129920).

4043130041440 is an abundant number, since it is smaller than the sum of its proper divisors (7455854218400).

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

4043130041440 is a wasteful number, since it uses less digits than its factorization.

4043130041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15466 (or 15458 counting only the distinct ones).

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

Adding to 4043130041440 its reverse (441400313404), we get a palindrome (4484530354844).

The spelling of 4043130041440 in words is "four trillion, forty-three billion, one hundred thirty million, forty-one thousand, four hundred forty".