404160261696 has 63 divisors (see below), whose sum is σ = 1158496151761. Its totient is φ = 134715001344.

The previous prime is 404160261683. The next prime is 404160261733. The reversal of 404160261696 is 696162061404.

It is a happy number.

The square root of 404160261696 is 635736.

It is a perfect power (a square), and thus also a powerful number.

404160261696 is a `hidden beast` number, since 404 + 1 + 60 + 26 + 169 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93064044096 + 311096217600 = 305064^2 + 557760^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 15244420 + ... + 15270908.

Almost surely, 2^404160261696 is an apocalyptic number.

404160261696 is the 635736-th square number.

It is an amenable number.

404160261696 is an abundant number, since it is smaller than the sum of its proper divisors (754335890065).

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

404160261696 is an frugal number, since it uses more digits than its factorization.

404160261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52996 (or 26494 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

It can be divided in two parts, 404160 and 261696, that added together give a square (665856 = 816²).

The spelling of 404160261696 in words is "four hundred four billion, one hundred sixty million, two hundred sixty-one thousand, six hundred ninety-six".