402643406160 has 60 divisors (see below), whose sum is σ = 1352210774772. Its totient is φ = 107371574784.

The previous prime is 402643406153. The next prime is 402643406171. The reversal of 402643406160 is 61604346204.

402643406160 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 4 + 34 + 0 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 254245875984 + 148397530176 = 504228^2 + 385224^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 279612757 + ... + 279614196.

Almost surely, 2^402643406160 is an apocalyptic number.

402643406160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402643406160 is an abundant number, since it is smaller than the sum of its proper divisors (949567368612).

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

402643406160 is a wasteful number, since it uses less digits than its factorization.

402643406160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559226972 (or 559226963 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 402643406160 in words is "four hundred two billion, six hundred forty-three million, four hundred six thousand, one hundred sixty".