165384030240 has 576 divisors, whose sum is σ = 664536337920. Its totient is φ = 36925562880.

The previous prime is 165384030221. The next prime is 165384030247. The reversal of 165384030240 is 42030483561.

165384030240 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 8 + 403 + 0 + 240 = 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 = 165384030195 and 165384030204.

It is not an unprimeable number, because it can be changed into a prime (165384030247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159175641 + ... + 159176679.

It is an arithmetic number, because the mean of its divisors is an integer number (1153708920).

Almost surely, 2^165384030240 is an apocalyptic number.

165384030240 is a gapful number since it is divisible by the number (10) 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 165384030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332268168960).

165384030240 is an abundant number, since it is smaller than the sum of its proper divisors (499152307680).

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

165384030240 is a wasteful number, since it uses less digits than its factorization.

165384030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1846 counting only the distinct ones).

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

The spelling of 165384030240 in words is "one hundred sixty-five billion, three hundred eighty-four million, thirty thousand, two hundred forty".