164400420044 has 24 divisors (see below), whose sum is σ = 328826453760. Its totient is φ = 70451834256.

The previous prime is 164400419987. The next prime is 164400420061. The reversal of 164400420044 is 440024004461.

It is a super-2 number, since 2×164400420044² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164400419989 and 164400420016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148049 + ... + 592215.

It is an arithmetic number, because the mean of its divisors is an integer number (13701102240).

Almost surely, 2^164400420044 is an apocalyptic number.

164400420044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164400420044 is an abundant number, since it is smaller than the sum of its proper divisors (164426033716).

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

164400420044 is a wasteful number, since it uses less digits than its factorization.

164400420044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457397 (or 457395 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The spelling of 164400420044 in words is "one hundred sixty-four billion, four hundred million, four hundred twenty thousand, forty-four".