165415199040 has 1008 divisors, whose sum is σ = 719782322688. Its totient is φ = 34125152256.

The previous prime is 165415199021. The next prime is 165415199077. The reversal of 165415199040 is 40991514561.

165415199040 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 1 + 519 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160130364 + ... + 160131396.

Almost surely, 2^165415199040 is an apocalyptic number.

165415199040 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 165415199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359891161344).

165415199040 is an abundant number, since it is smaller than the sum of its proper divisors (554367123648).

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

165415199040 is a wasteful number, since it uses less digits than its factorization.

165415199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 165415199040 in words is "one hundred sixty-five billion, four hundred fifteen million, one hundred ninety-nine thousand, forty".