16440883966080 has 768 divisors, whose sum is σ = 67264408074240. Its totient is φ = 3621020958720.

The previous prime is 16440883965991. The next prime is 16440883966099. The reversal of 16440883966080 is 8066938804461.

16440883966080 is a `hidden beast` number, since 1 + 6 + 4 + 408 + 8 + 3 + 96 + 60 + 80 = 666.

It is a super-3 number, since 3×16440883966080³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 16440883965999 and 16440883966017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291203134 + ... + 291259586.

It is an arithmetic number, because the mean of its divisors is an integer number (87583864680).

Almost surely, 2^{16440883966080} is an apocalyptic number.

16440883966080 is a gapful number since it is divisible by the number (10) 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 16440883966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33632204037120).

16440883966080 is an abundant number, since it is smaller than the sum of its proper divisors (50823524108160).

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

16440883966080 is a wasteful number, since it uses less digits than its factorization.

16440883966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56749 (or 56734 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 16440883966080 in words is "sixteen trillion, four hundred forty billion, eight hundred eighty-three million, nine hundred sixty-six thousand, eighty".