4412339563104 has 216 divisors, whose sum is σ = 13811730974496. Its totient is φ = 1335157824000.

The previous prime is 4412339563067. The next prime is 4412339563117. The reversal of 4412339563104 is 4013659332144.

4412339563104 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 3 + 3 + 9 + 5 + 631 + 0 + 4 = 666.

It is a super-2 number, since 2×4412339563104² (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 4412339563104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24338137 + ... + 24518759.

It is an arithmetic number, because the mean of its divisors is an integer number (63943198956).

Almost surely, 2^{4412339563104} is an apocalyptic number.

4412339563104 is a gapful number since it is divisible by the number (44) 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 4412339563104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905865487248).

4412339563104 is an abundant number, since it is smaller than the sum of its proper divisors (9399391411392).

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

4412339563104 is a wasteful number, since it uses less digits than its factorization.

4412339563104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181362 (or 181340 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4412339563104 in words is "four trillion, four hundred twelve billion, three hundred thirty-nine million, five hundred sixty-three thousand, one hundred four".