16440067140 has 96 divisors (see below), whose sum is σ = 52654715904. Its totient is φ = 3754408320.

The previous prime is 16440067139. The next prime is 16440067151. The reversal of 16440067140 is 4176004461.

16440067140 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 3×16440067140³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475107 + ... + 508533.

It is an arithmetic number, because the mean of its divisors is an integer number (548486624).

Almost surely, 2^16440067140 is an apocalyptic number.

16440067140 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 16440067140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26327357952).

16440067140 is an abundant number, since it is smaller than the sum of its proper divisors (36214648764).

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

16440067140 is a wasteful number, since it uses less digits than its factorization.

16440067140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34617 (or 34615 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

It can be divided in two parts, 164400 and 67140, that added together give a triangular number (231540 = T₆₈₀).

The spelling of 16440067140 in words is "sixteen billion, four hundred forty million, sixty-seven thousand, one hundred forty".