4233404013344 has 96 divisors (see below), whose sum is σ = 9406648117440. Its totient is φ = 1857737190400.

The previous prime is 4233404013337. The next prime is 4233404013367. The reversal of 4233404013344 is 4433104043324.

4233404013344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4233404013344² (a number of 26 digits) contains 22 as substring.

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, 191623739 + ... + 191645829.

It is an arithmetic number, because the mean of its divisors is an integer number (97985917890).

Almost surely, 2^{4233404013344} is an apocalyptic number.

4233404013344 is a gapful number since it is divisible by the number (44) 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 4233404013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703324058720).

4233404013344 is an abundant number, since it is smaller than the sum of its proper divisors (5173244104096).

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

4233404013344 is a wasteful number, since it uses less digits than its factorization.

4233404013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40914 (or 40906 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 4233404013344 its reverse (4433104043324), we get a palindrome (8666508056668).

The spelling of 4233404013344 in words is "four trillion, two hundred thirty-three billion, four hundred four million, thirteen thousand, three hundred forty-four".