4433682666240 has 864 divisors, whose sum is σ = 16889710795776. Its totient is φ = 1109750906880.

The previous prime is 4433682666199. The next prime is 4433682666289. The reversal of 4433682666240 is 426662863344.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2448194935 + ... + 2448196745.

It is an arithmetic number, because the mean of its divisors is an integer number (19548276384).

Almost surely, 2^{4433682666240} is an apocalyptic number.

4433682666240 is a gapful number since it is divisible by the number (40) 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 4433682666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444855397888).

4433682666240 is an abundant number, since it is smaller than the sum of its proper divisors (12456028129536).

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

4433682666240 is a wasteful number, since it uses less digits than its factorization.

4433682666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 4433682666240 in words is "four trillion, four hundred thirty-three billion, six hundred eighty-two million, six hundred sixty-six thousand, two hundred forty".