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16440450287712 = 25311192633115591

16440450287712 has 192 divisors, whose sum is σ = 49745785098240. Its totient is φ = 4701799180800.

The previous prime is 16440450287699. The next prime is 16440450287713. The reversal of 16440450287712 is 21778205404461.

16440450287712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164404502877123 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16440450287713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3719037 + ... + 6834627.

It is an arithmetic number, because the mean of its divisors is an integer number (259092630720).

Almost surely, 216440450287712 is an apocalyptic number.

16440450287712 is a gapful number since it is divisible by the number (12) 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 16440450287712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872892549120).

16440450287712 is an abundant number, since it is smaller than the sum of its proper divisors (33305334810528).

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

16440450287712 is a wasteful number, since it uses less digits than its factorization.

16440450287712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115897 (or 3115889 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 16440450287712 in words is "sixteen trillion, four hundred forty billion, four hundred fifty million, two hundred eighty-seven thousand, seven hundred twelve".