165022000440 has 256 divisors, whose sum is σ = 553917450240. Its totient is φ = 38982144000.

The previous prime is 165022000433. The next prime is 165022000453. The reversal of 165022000440 is 44000220561.

It is a Cunningham number, because it is equal to 406229²-1.

It is a super-3 number, since 3×165022000440³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 165022000440.

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, 66620482 + ... + 66622958.

It is an arithmetic number, because the mean of its divisors is an integer number (2163740040).

Almost surely, 2^165022000440 is an apocalyptic number.

165022000440 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 165022000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276958725120).

165022000440 is an abundant number, since it is smaller than the sum of its proper divisors (388895449800).

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

165022000440 is a wasteful number, since it uses less digits than its factorization.

165022000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 165022000440 in words is "one hundred sixty-five billion, twenty-two million, four hundred forty", and thus it is an aban number.