4065362840160 has 384 divisors, whose sum is σ = 14512356956160. Its totient is φ = 1062672887808.

The previous prime is 4065362840159. The next prime is 4065362840171. The reversal of 4065362840160 is 610482635604.

4065362840160 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 3 + 628 + 4 + 0 + 16 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51364137 + ... + 51443223.

It is an arithmetic number, because the mean of its divisors is an integer number (37792596240).

Almost surely, 2^{4065362840160} is an apocalyptic number.

4065362840160 is a gapful number since it is divisible by the number (40) 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 4065362840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256178478080).

4065362840160 is an abundant number, since it is smaller than the sum of its proper divisors (10446994116000).

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

4065362840160 is a wasteful number, since it uses less digits than its factorization.

4065362840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79347 (or 79333 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4065362840160 in words is "four trillion, sixty-five billion, three hundred sixty-two million, eight hundred forty thousand, one hundred sixty".