4433324408856 has 768 divisors, whose sum is σ = 15318426240000. Its totient is φ = 1181123887104.

The previous prime is 4433324408827. The next prime is 4433324408861. The reversal of 4433324408856 is 6588044233344.

4433324408856 is a `hidden beast` number, since 4 + 43 + 3 + 32 + 440 + 88 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3997586830 + ... + 3997587938.

It is an arithmetic number, because the mean of its divisors is an integer number (19945867500).

Almost surely, 2^{4433324408856} 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 4433324408856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659213120000).

4433324408856 is an abundant number, since it is smaller than the sum of its proper divisors (10885101831144).

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

4433324408856 is a wasteful number, since it uses less digits than its factorization.

4433324408856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 4433324408856 in words is "four trillion, four hundred thirty-three billion, three hundred twenty-four million, four hundred eight thousand, eight hundred fifty-six".