402130368000 has 480 divisors, whose sum is σ = 1468947534912. Its totient is φ = 105713664000.

The previous prime is 402130367987. The next prime is 402130368001. The reversal of 402130368000 is 863031204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402130368001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40891084 + ... + 40900916.

Almost surely, 2^402130368000 is an apocalyptic number.

402130368000 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 402130368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734473767456).

402130368000 is an abundant number, since it is smaller than the sum of its proper divisors (1066817166912).

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

402130368000 is an equidigital number, since it uses as much as digits as its factorization.

402130368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 402130368000 its reverse (863031204), we get a palindrome (402993399204).

The spelling of 402130368000 in words is "four hundred two billion, one hundred thirty million, three hundred sixty-eight thousand".