4433342433344 has 168 divisors, whose sum is σ = 9893445166080. Its totient is φ = 1968721807360.

The previous prime is 4433342433337. The next prime is 4433342433361.

4433342433344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4433342433295 and 4433342433304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207087089 + ... + 207108495.

It is an arithmetic number, because the mean of its divisors is an integer number (58889554560).

Almost surely, 2^{4433342433344} is an apocalyptic number.

4433342433344 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 4433342433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946722583040).

4433342433344 is an abundant number, since it is smaller than the sum of its proper divisors (5460102732736).

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

4433342433344 is a wasteful number, since it uses less digits than its factorization.

4433342433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22057 (or 22036 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 44.

The spelling of 4433342433344 in words is "four trillion, four hundred thirty-three billion, three hundred forty-two million, four hundred thirty-three thousand, three hundred forty-four".