4034044131024 has 320 divisors, whose sum is σ = 11334645964800. Its totient is φ = 1232987897856.

The previous prime is 4034044131023. The next prime is 4034044131031. The reversal of 4034044131024 is 4201314404304.

It is a junction number, because it is equal to n+sod(n) for n = 4034044130982 and 4034044131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034044131023) 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, 2554808667 + ... + 2554810245.

It is an arithmetic number, because the mean of its divisors is an integer number (35420768640).

Almost surely, 2^{4034044131024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034044131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667322982400).

4034044131024 is an abundant number, since it is smaller than the sum of its proper divisors (7300601833776).

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

4034044131024 is a wasteful number, since it uses less digits than its factorization.

4034044131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4034044131024 its reverse (4201314404304), we get a palindrome (8235358535328).

The spelling of 4034044131024 in words is "four trillion, thirty-four billion, forty-four million, one hundred thirty-one thousand, twenty-four".