4034433234240 has 224 divisors, whose sum is σ = 14277491343360. Its totient is φ = 1072454289408.

The previous prime is 4034433234211. The next prime is 4034433234241. The reversal of 4034433234240 is 424323344304.

4034433234240 is a `hidden beast` number, since 40 + 3 + 44 + 332 + 3 + 4 + 240 = 666.

It is a super-4 number, since 4×4034433234240⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4034433234195 and 4034433234204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034433234241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002369 + ... + 3475391.

It is an arithmetic number, because the mean of its divisors is an integer number (63738800640).

Almost surely, 2^{4034433234240} is an apocalyptic number.

4034433234240 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 4034433234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138745671680).

4034433234240 is an abundant number, since it is smaller than the sum of its proper divisors (10243058109120).

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

4034433234240 is a wasteful number, since it uses less digits than its factorization.

4034433234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473366 (or 1473350 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 4034433234240 its reverse (424323344304), we get a palindrome (4458756578544).

The spelling of 4034433234240 in words is "four trillion, thirty-four billion, four hundred thirty-three million, two hundred thirty-four thousand, two hundred forty".