4405229660160 has 3456 divisors, whose sum is σ = 20890947168000. Its totient is φ = 866843099136.

The previous prime is 4405229660093. The next prime is 4405229660261. The reversal of 4405229660160 is 610669225044.

4405229660160 is a `hidden beast` number, since 4 + 4 + 0 + 522 + 9 + 6 + 60 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 151904471026 + ... + 151904471054.

It is an arithmetic number, because the mean of its divisors is an integer number (6044834250).

Almost surely, 2^{4405229660160} is an apocalyptic number.

4405229660160 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 4405229660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445473584000).

4405229660160 is an abundant number, since it is smaller than the sum of its proper divisors (16485717507840).

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

4405229660160 is an equidigital number, since it uses as much as digits as its factorization.

4405229660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4405229660160 in words is "four trillion, four hundred five billion, two hundred twenty-nine million, six hundred sixty thousand, one hundred sixty".