164009285440 has 672 divisors, whose sum is σ = 535301464320. Its totient is φ = 46568079360.

The previous prime is 164009285399. The next prime is 164009285443. The reversal of 164009285440 is 44582900461.

164009285440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164009285443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313593019 + ... + 313593541.

It is an arithmetic number, because the mean of its divisors is an integer number (796579560).

Almost surely, 2^164009285440 is an apocalyptic number.

164009285440 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 164009285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267650732160).

164009285440 is an abundant number, since it is smaller than the sum of its proper divisors (371292178880).

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

164009285440 is a wasteful number, since it uses less digits than its factorization.

164009285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 164009285440 in words is "one hundred sixty-four billion, nine million, two hundred eighty-five thousand, four hundred forty".