440665016000 has 224 divisors, whose sum is σ = 1194030249984. Its totient is φ = 159768960000.

The previous prime is 440665015943. The next prime is 440665016041. The reversal of 440665016000 is 610566044.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30528785 + ... + 30543215.

Almost surely, 2^440665016000 is an apocalyptic number.

440665016000 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 440665016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597015124992).

440665016000 is an abundant number, since it is smaller than the sum of its proper divisors (753365233984).

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

440665016000 is a wasteful number, since it uses less digits than its factorization.

440665016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Subtracting from 440665016000 its reverse (610566044), we obtain a square (440054449956 = 663366²).

The spelling of 440665016000 in words is "four hundred forty billion, six hundred sixty-five million, sixteen thousand".