4304032233040 has 80 divisors (see below), whose sum is σ = 10111586723280. Its totient is φ = 1703603404800.

The previous prime is 4304032233031. The next prime is 4304032233077. The reversal of 4304032233040 is 403322304034.

It can be written as a sum of positive squares in 8 ways, for example, as 216442944 + 4303815790096 = 14712^2 + 2074564^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4304032233040³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55282140 + ... + 55359940.

It is an arithmetic number, because the mean of its divisors is an integer number (126394834041).

Almost surely, 2^{4304032233040} is an apocalyptic number.

4304032233040 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 4304032233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055793361640).

4304032233040 is an abundant number, since it is smaller than the sum of its proper divisors (5807554490240).

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

4304032233040 is a wasteful number, since it uses less digits than its factorization.

4304032233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85040 (or 85034 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 4304032233040 its reverse (403322304034), we get a palindrome (4707354537074).

The spelling of 4304032233040 in words is "four trillion, three hundred four billion, thirty-two million, two hundred thirty-three thousand, forty".