165334664040 has 256 divisors, whose sum is σ = 619067473920. Its totient is φ = 34392314880.

The previous prime is 165334664017. The next prime is 165334664059. The reversal of 165334664040 is 40466433561.

It is a super-2 number, since 2×165334664040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 165334663983 and 165334664001.

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, 668697 + ... + 881943.

It is an arithmetic number, because the mean of its divisors is an integer number (2418232320).

Almost surely, 2^165334664040 is an apocalyptic number.

165334664040 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 165334664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309533736960).

165334664040 is an abundant number, since it is smaller than the sum of its proper divisors (453732809880).

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

165334664040 is a wasteful number, since it uses less digits than its factorization.

165334664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213352 (or 213348 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 165334664040 in words is "one hundred sixty-five billion, three hundred thirty-four million, six hundred sixty-four thousand, forty".