4433041581696 has 2304 divisors, whose sum is σ = 17807895705600. Its totient is φ = 1066623344640.

The previous prime is 4433041581667. The next prime is 4433041581697. The reversal of 4433041581696 is 6961851403344.

It is a happy number.

4433041581696 is a `hidden beast` number, since 4 + 433 + 0 + 41 + 5 + 8 + 169 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4433041581697) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62437205341 + ... + 62437205411.

It is an arithmetic number, because the mean of its divisors is an integer number (7729121400).

Almost surely, 2^{4433041581696} 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 4433041581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903947852800).

4433041581696 is an abundant number, since it is smaller than the sum of its proper divisors (13374854123904).

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

4433041581696 is an equidigital number, since it uses as much as digits as its factorization.

4433041581696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4433041581696 in words is "four trillion, four hundred thirty-three billion, forty-one million, five hundred eighty-one thousand, six hundred ninety-six".