4160309616 has 240 divisors, whose sum is σ = 12768071680. Its totient is φ = 1259712000.

The previous prime is 4160309611. The next prime is 4160309633. The reversal of 4160309616 is 6169030614.

4160309616 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 30 + 9 + 616 = 666.

It is a super-2 number, since 2×4160309616² = 34616352201964134912, which contains 22 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 not an unprimeable number, because it can be changed into a prime (4160309611) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15351561 + ... + 15351831.

Almost surely, 2^4160309616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160309616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384035840).

4160309616 is an abundant number, since it is smaller than the sum of its proper divisors (8607762064).

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

4160309616 is a wasteful number, since it uses less digits than its factorization.

4160309616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4160309616 is about 64500.4621378793. The cubic root of 4160309616 is about 1608.3302024787.

The spelling of 4160309616 in words is "four billion, one hundred sixty million, three hundred nine thousand, six hundred sixteen".