164404524512400 has 120 divisors (see below), whose sum is σ = 529873429694880. Its totient is φ = 43572242027520.

The previous prime is 164404524512399. The next prime is 164404524512467. The reversal of 164404524512400 is 4215425404461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×164404524512400³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 420061365 + ... + 420452564.

It is an arithmetic number, because the mean of its divisors is an integer number (4415611914124).

Almost surely, 2^{164404524512400} is an apocalyptic number.

164404524512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164404524512400 is an abundant number, since it is smaller than the sum of its proper divisors (365468905182480).

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

164404524512400 is a wasteful number, since it uses less digits than its factorization.

164404524512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840514113 (or 840514102 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

Adding to 164404524512400 its reverse (4215425404461), we get a palindrome (168619949916861).

The spelling of 164404524512400 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred twenty-four million, five hundred twelve thousand, four hundred".