164388042000 has 1920 divisors, whose sum is σ = 759476390400. Its totient is φ = 34096204800.

The previous prime is 164388041899. The next prime is 164388042019. The reversal of 164388042000 is 240883461.

164388042000 is a `hidden beast` number, since 1 + 643 + 8 + 8 + 0 + 4 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2786237971 + ... + 2786238029.

It is an arithmetic number, because the mean of its divisors is an integer number (395560620).

Almost surely, 2^164388042000 is an apocalyptic number.

164388042000 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 164388042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379738195200).

164388042000 is an abundant number, since it is smaller than the sum of its proper divisors (595088348400).

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

164388042000 is an equidigital number, since it uses as much as digits as its factorization.

164388042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 164388042000 in words is "one hundred sixty-four billion, three hundred eighty-eight million, forty-two thousand".