4406340122016 has 192 divisors, whose sum is σ = 14014238515200. Its totient is φ = 1185414497280.

The previous prime is 4406340122003. The next prime is 4406340122027. The reversal of 4406340122016 is 6102210436044.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 2087566 + ... + 3629133.

It is an arithmetic number, because the mean of its divisors is an integer number (72990825600).

Almost surely, 2^{4406340122016} is an apocalyptic number.

It is an amenable number.

4406340122016 is an abundant number, since it is smaller than the sum of its proper divisors (9607898393184).

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

4406340122016 is a wasteful number, since it uses less digits than its factorization.

4406340122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716787 (or 5716779 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 4406340122016 in words is "four trillion, four hundred six billion, three hundred forty million, one hundred twenty-two thousand, sixteen".