16440952320 has 960 divisors, whose sum is σ = 67563175680. Its totient is φ = 3798171648.

The previous prime is 16440952303. The next prime is 16440952337. The reversal of 16440952320 is 2325904461.

It is a happy number.

16440952320 is a `hidden beast` number, since 1 + 644 + 0 + 9 + 5 + 2 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16440952303) and next prime (16440952337).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×16440952320³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

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, 153653707 + ... + 153653813.

It is an arithmetic number, because the mean of its divisors is an integer number (70378308).

Almost surely, 2^16440952320 is an apocalyptic number.

16440952320 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 16440952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33781587840).

16440952320 is an abundant number, since it is smaller than the sum of its proper divisors (51122223360).

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

16440952320 is a wasteful number, since it uses less digits than its factorization.

16440952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 16440952320 in words is "sixteen billion, four hundred forty million, nine hundred fifty-two thousand, three hundred twenty".