4034040033044 has 192 divisors, whose sum is σ = 9154528266240. Its totient is φ = 1513864028160.

The previous prime is 4034040032927. The next prime is 4034040033071. The reversal of 4034040033044 is 4403300404304.

It is a super-2 number, since 2×4034040033044² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4034040032998 and 4034040033016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200558732 + ... + 200578844.

It is an arithmetic number, because the mean of its divisors is an integer number (47679834720).

Almost surely, 2^{4034040033044} 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 4034040033044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577264133120).

4034040033044 is an abundant number, since it is smaller than the sum of its proper divisors (5120488233196).

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

4034040033044 is a wasteful number, since it uses less digits than its factorization.

4034040033044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20558 (or 20556 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 4034040033044 its reverse (4403300404304), we get a palindrome (8437340437348).

The spelling of 4034040033044 in words is "four trillion, thirty-four billion, forty million, thirty-three thousand, forty-four".