164005112040 has 128 divisors (see below), whose sum is σ = 613421752320. Its totient is φ = 34078982400.

The previous prime is 164005111979. The next prime is 164005112077. The reversal of 164005112040 is 40211500461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164005112040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8865496 + ... + 8883975.

It is an arithmetic number, because the mean of its divisors is an integer number (4792357440).

Almost surely, 2^164005112040 is an apocalyptic number.

164005112040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164005112040 is an abundant number, since it is smaller than the sum of its proper divisors (449416640280).

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

164005112040 is a wasteful number, since it uses less digits than its factorization.

164005112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17749503 (or 17749499 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 164005112040 in words is "one hundred sixty-four billion, five million, one hundred twelve thousand, forty".