440066601102016 has 112 divisors (see below), whose sum is σ = 1007943296735232. Its totient is φ = 186722669952000.

The previous prime is 440066601101999. The next prime is 440066601102109. The reversal of 440066601102016 is 610201106660044.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×440066601102016² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879687801 + ... + 880187911.

Almost surely, 2^{440066601102016} 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 440066601102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503971648367616).

440066601102016 is an abundant number, since it is smaller than the sum of its proper divisors (567876695633216).

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

440066601102016 is a wasteful number, since it uses less digits than its factorization.

440066601102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519678 (or 519668 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 440066601102016 in words is "four hundred forty trillion, sixty-six billion, six hundred one million, one hundred two thousand, sixteen".