4440379669632 has 192 divisors, whose sum is σ = 13532013200160. Its totient is φ = 1392779059200.

The previous prime is 4440379669573. The next prime is 4440379669633. The reversal of 4440379669632 is 2369669730444.

4440379669632 is a `hidden beast` number, since 4 + 440 + 3 + 79 + 6 + 6 + 96 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4440379669632² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4440379669632.

It is not an unprimeable number, because it can be changed into a prime (4440379669633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110649123 + ... + 110689245.

Almost surely, 2^{4440379669632} 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 4440379669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766006600080).

4440379669632 is an abundant number, since it is smaller than the sum of its proper divisors (9091633530528).

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

4440379669632 is a wasteful number, since it uses less digits than its factorization.

4440379669632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45811 (or 45796 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 4440379669632 in words is "four trillion, four hundred forty billion, three hundred seventy-nine million, six hundred sixty-nine thousand, six hundred thirty-two".