164240044800 has 432 divisors, whose sum is σ = 588293680128. Its totient is φ = 40111718400.

The previous prime is 164240044783. The next prime is 164240044817. The reversal of 164240044800 is 8440042461.

It is an interprime number because it is at equal distance from previous prime (164240044783) and next prime (164240044817).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32695089 + ... + 32700111.

Almost surely, 2^164240044800 is an apocalyptic number.

164240044800 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 164240044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294146840064).

164240044800 is an abundant number, since it is smaller than the sum of its proper divisors (424053635328).

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

164240044800 is a wasteful number, since it uses less digits than its factorization.

164240044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5196 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 164240044800 in words is "one hundred sixty-four billion, two hundred forty million, forty-four thousand, eight hundred".