4043140413440 has 192 divisors, whose sum is σ = 9803577420000. Its totient is φ = 1600267878400.

The previous prime is 4043140413407. The next prime is 4043140413469. The reversal of 4043140413440 is 443140413404.

4043140413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4043140413397 and 4043140413406.

It is a congruent number.

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, 410424515 + ... + 410434365.

Almost surely, 2^{4043140413440} is an apocalyptic number.

4043140413440 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 4043140413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901788710000).

4043140413440 is an abundant number, since it is smaller than the sum of its proper divisors (5760437006560).

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

4043140413440 is a wasteful number, since it uses less digits than its factorization.

4043140413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10296 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4043140413440 its reverse (443140413404), we get a palindrome (4486280826844).

The spelling of 4043140413440 in words is "four trillion, forty-three billion, one hundred forty million, four hundred thirteen thousand, four hundred forty".