16464160440 has 640 divisors, whose sum is σ = 71717184000. Its totient is φ = 3289807872.

The previous prime is 16464160381. The next prime is 16464160469. The reversal of 16464160440 is 4406146461.

16464160440 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 4 + 1 + 604 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16464160395 and 16464160404.

It is a congruent 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 159 ways as a sum of consecutive naturals, for example, 5600491 + ... + 5603429.

It is an arithmetic number, because the mean of its divisors is an integer number (112058100).

Almost surely, 2^16464160440 is an apocalyptic number.

16464160440 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 16464160440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35858592000).

16464160440 is an abundant number, since it is smaller than the sum of its proper divisors (55253023560).

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

16464160440 is a wasteful number, since it uses less digits than its factorization.

16464160440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16464160440 in words is "sixteen billion, four hundred sixty-four million, one hundred sixty thousand, four hundred forty".