4065145344 has 240 divisors, whose sum is σ = 12809596800. Its totient is φ = 1233543168.

The previous prime is 4065145339. The next prime is 4065145397. The reversal of 4065145344 is 4435415604.

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 = 4065145299 and 4065145308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4731987 + ... + 4732845.

It is an arithmetic number, because the mean of its divisors is an integer number (53373320).

Almost surely, 2^4065145344 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 4065145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404798400).

4065145344 is an abundant number, since it is smaller than the sum of its proper divisors (8744451456).

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

4065145344 is a wasteful number, since it uses less digits than its factorization.

4065145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4065145344 is about 63758.4923284734. The cubic root of 4065145344 is about 1595.9723363777.

The spelling of 4065145344 in words is "four billion, sixty-five million, one hundred forty-five thousand, three hundred forty-four".