403665966144 has 672 divisors, whose sum is σ = 1443748939776. Its totient is φ = 105206169600.

The previous prime is 403665966139. The next prime is 403665966169. The reversal of 403665966144 is 441669566304.

403665966144 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 6 + 596 + 6 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445055739 + ... + 445056645.

Almost surely, 2^403665966144 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 403665966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721874469888).

403665966144 is an abundant number, since it is smaller than the sum of its proper divisors (1040082973632).

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

403665966144 is a wasteful number, since it uses less digits than its factorization.

403665966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 403665966144 in words is "four hundred three billion, six hundred sixty-five million, nine hundred sixty-six thousand, one hundred forty-four".