404166012054144 has 128 divisors (see below), whose sum is σ = 1076176552387200. Its totient is φ = 134394495750144.

The previous prime is 404166012054053. The next prime is 404166012054163. The reversal of 404166012054144 is 441450210661404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×404166012054144² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404166012054096 and 404166012054105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118658294 + ... + 1119019530.

It is an arithmetic number, because the mean of its divisors is an integer number (8407629315525).

Almost surely, 2^{404166012054144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404166012054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538088276193600).

404166012054144 is an abundant number, since it is smaller than the sum of its proper divisors (672010540333056).

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

404166012054144 is a wasteful number, since it uses less digits than its factorization.

404166012054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368330 (or 368318 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 404166012054144 in words is "four hundred four trillion, one hundred sixty-six billion, twelve million, fifty-four thousand, one hundred forty-four".