402802344000 has 2016 divisors, whose sum is σ = 1803963432960. Its totient is φ = 85349376000.

The previous prime is 402802343963. The next prime is 402802344001. The reversal of 402802344000 is 443208204.

It is a happy number.

402802344000 is a `hidden beast` number, since 4 + 0 + 28 + 0 + 234 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (402802344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3171671937 + ... + 3171672063.

Almost surely, 2^402802344000 is an apocalyptic number.

402802344000 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 402802344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901981716480).

402802344000 is an abundant number, since it is smaller than the sum of its proper divisors (1401161088960).

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

402802344000 is a wasteful number, since it uses less digits than its factorization.

402802344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 402802344000 in words is "four hundred two billion, eight hundred two million, three hundred forty-four thousand".