4433166613344 has 192 divisors, whose sum is σ = 13741898268672. Its totient is φ = 1224565516800.

The previous prime is 4433166613307. The next prime is 4433166613349.

4433166613344 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4433166613293 and 4433166613302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4433166613349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21374589 + ... + 21580995.

It is an arithmetic number, because the mean of its divisors is an integer number (71572386816).

Almost surely, 2^{4433166613344} 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 4433166613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870949134336).

4433166613344 is an abundant number, since it is smaller than the sum of its proper divisors (9308731655328).

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

4433166613344 is a wasteful number, since it uses less digits than its factorization.

4433166613344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207489 (or 207481 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The spelling of 4433166613344 in words is "four trillion, four hundred thirty-three billion, one hundred sixty-six million, six hundred thirteen thousand, three hundred forty-four".