165442041600 has 1296 divisors, whose sum is σ = 655315557120. Its totient is φ = 36585472000.

The previous prime is 165442041559. The next prime is 165442041619. The reversal of 165442041600 is 6140244561.

It is a super-2 number, since 2×165442041600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2330169565 + ... + 2330169635.

It is an arithmetic number, because the mean of its divisors is an integer number (505644720).

Almost surely, 2^165442041600 is an apocalyptic number.

165442041600 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 165442041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327657778560).

165442041600 is an abundant number, since it is smaller than the sum of its proper divisors (489873515520).

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

165442041600 is a wasteful number, since it uses less digits than its factorization.

165442041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 165442041600 in words is "one hundred sixty-five billion, four hundred forty-two million, forty-one thousand, six hundred".