16286279040 has 256 divisors, whose sum is σ = 59543193600. Its totient is φ = 4202772480.

The previous prime is 16286279027. The next prime is 16286279063. The reversal of 16286279040 is 4097268261.

It is a happy number.

16286279040 is a `hidden beast` number, since 16 + 2 + 8 + 627 + 9 + 0 + 4 + 0 = 666.

16286279040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 520479 + ... + 550881.

It is an arithmetic number, because the mean of its divisors is an integer number (232590600).

Almost surely, 2^16286279040 is an apocalyptic number.

16286279040 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 16286279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29771596800).

16286279040 is an abundant number, since it is smaller than the sum of its proper divisors (43256914560).

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

16286279040 is a wasteful number, since it uses less digits than its factorization.

16286279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30462 (or 30444 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16286279040 in words is "sixteen billion, two hundred eighty-six million, two hundred seventy-nine thousand, forty".