4405766634368 has 256 divisors, whose sum is σ = 10089554400000. Its totient is φ = 1897688432640.

The previous prime is 4405766634331. The next prime is 4405766634389. The reversal of 4405766634368 is 8634366675044.

It is a self number, because there is not a number n which added to its sum of digits gives 4405766634368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2069405528 + ... + 2069407656.

It is an arithmetic number, because the mean of its divisors is an integer number (39412321875).

Almost surely, 2^{4405766634368} 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 4405766634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044777200000).

4405766634368 is an abundant number, since it is smaller than the sum of its proper divisors (5683787765632).

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

4405766634368 is a wasteful number, since it uses less digits than its factorization.

4405766634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 62.

The spelling of 4405766634368 in words is "four trillion, four hundred five billion, seven hundred sixty-six million, six hundred thirty-four thousand, three hundred sixty-eight".