4335133440032 has 96 divisors (see below), whose sum is σ = 8897377281408. Its totient is φ = 2077436160000.

The previous prime is 4335133440031. The next prime is 4335133440097. The reversal of 4335133440032 is 2300443315334.

It is a super-2 number, since 2×4335133440032² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4335133439974 and 4335133440001.

It is not an unprimeable number, because it can be changed into a prime (4335133440031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64872557 + ... + 64939347.

It is an arithmetic number, because the mean of its divisors is an integer number (92681013348).

Almost surely, 2^{4335133440032} 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 4335133440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448688640704).

4335133440032 is an abundant number, since it is smaller than the sum of its proper divisors (4562243841376).

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

4335133440032 is a wasteful number, since it uses less digits than its factorization.

4335133440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67714 (or 67706 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 4335133440032 its reverse (2300443315334), we get a palindrome (6635576755366).

The spelling of 4335133440032 in words is "four trillion, three hundred thirty-five billion, one hundred thirty-three million, four hundred forty thousand, thirty-two".