402206112000 has 1296 divisors, whose sum is σ = 1837299469824. Its totient is φ = 83543040000.

The previous prime is 402206111987. The next prime is 402206112001. The reversal of 402206112000 is 211602204.

402206112000 is a `hidden beast` number, since 402 + 2 + 0 + 61 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402206112001) 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 143 ways as a sum of consecutive naturals, for example, 155230705 + ... + 155233295.

It is an arithmetic number, because the mean of its divisors is an integer number (1417669344).

Almost surely, 2^402206112000 is an apocalyptic number.

402206112000 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 402206112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918649734912).

402206112000 is an abundant number, since it is smaller than the sum of its proper divisors (1435093357824).

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

402206112000 is a wasteful number, since it uses less digits than its factorization.

402206112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 402206112000 its reverse (211602204), we get a palindrome (402417714204).

The spelling of 402206112000 in words is "four hundred two billion, two hundred six million, one hundred twelve thousand".