402843664080 has 540 divisors, whose sum is σ = 1610300270124. Its totient is φ = 90143539200.

The previous prime is 402843664063. The next prime is 402843664121. The reversal of 402843664080 is 80466348204.

402843664080 is a `hidden beast` number, since 4 + 0 + 284 + 366 + 4 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 63364972176 + 339478691904 = 251724^2 + 582648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 14709600 + ... + 14736960.

Almost surely, 2^402843664080 is an apocalyptic number.

402843664080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402843664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805150135062).

402843664080 is an abundant number, since it is smaller than the sum of its proper divisors (1207456606044).

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

402843664080 is a wasteful number, since it uses less digits than its factorization.

402843664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27428 (or 27395 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 402843664080 in words is "four hundred two billion, eight hundred forty-three million, six hundred sixty-four thousand, eighty".