4065660144 has 360 divisors, whose sum is σ = 14407411200. Its totient is φ = 1060770816.

The previous prime is 4065660107. The next prime is 4065660169. The reversal of 4065660144 is 4410665604.

4065660144 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 6 + 601 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4065660099 and 4065660108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11649282 + ... + 11649630.

Almost surely, 2^4065660144 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 4065660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203705600).

4065660144 is an abundant number, since it is smaller than the sum of its proper divisors (10341751056).

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

4065660144 is a wasteful number, since it uses less digits than its factorization.

4065660144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4065660144 is about 63762.5293099325. The cubic root of 4065660144 is about 1596.0397035368.

The spelling of 4065660144 in words is "four billion, sixty-five million, six hundred sixty thousand, one hundred forty-four".