402199284960 has 288 divisors, whose sum is σ = 1498509204192. Its totient is φ = 97422704640.

The previous prime is 402199284917. The next prime is 402199284989. The reversal of 402199284960 is 69482991204.

402199284960 is a `hidden beast` number, since 40 + 2 + 1 + 99 + 28 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 402199284897 and 402199284906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20534692 + ... + 20554268.

It is an arithmetic number, because the mean of its divisors is an integer number (5203156959).

Almost surely, 2^402199284960 is an apocalyptic number.

402199284960 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 402199284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749254602096).

402199284960 is an abundant number, since it is smaller than the sum of its proper divisors (1096309919232).

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

402199284960 is a wasteful number, since it uses less digits than its factorization.

402199284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20906 (or 20895 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 402199284960 in words is "four hundred two billion, one hundred ninety-nine million, two hundred eighty-four thousand, nine hundred sixty".