4165001344 has 128 divisors (see below), whose sum is σ = 9938880000. Its totient is φ = 1700794368.

The previous prime is 4165001339. The next prime is 4165001353. The reversal of 4165001344 is 4431005614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051722 + ... + 2053750.

It is an arithmetic number, because the mean of its divisors is an integer number (77647500).

Almost surely, 2^4165001344 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 4165001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969440000).

4165001344 is an abundant number, since it is smaller than the sum of its proper divisors (5773878656).

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

4165001344 is a wasteful number, since it uses less digits than its factorization.

4165001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4165001344 is about 64536.8216137113. The cubic root of 4165001344 is about 1608.9345655945.

Adding to 4165001344 its reverse (4431005614), we get a palindrome (8596006958).

The spelling of 4165001344 in words is "four billion, one hundred sixty-five million, one thousand, three hundred forty-four".