400200222202002 has 256 divisors, whose sum is σ = 942962549760000. Its totient is φ = 125625043272960.

The previous prime is 400200222201961. The next prime is 400200222202061. The reversal of 400200222202002 is 200202222002004.

It is a happy number.

400200222202002 is a `hidden beast` number, since 40 + 0 + 200 + 2 + 2 + 220 + 200 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17280536899 + ... + 17280560057.

It is an arithmetic number, because the mean of its divisors is an integer number (3683447460000).

Almost surely, 2^{400200222202002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400200222202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471481274880000).

400200222202002 is an abundant number, since it is smaller than the sum of its proper divisors (542762327557998).

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

400200222202002 is a wasteful number, since it uses less digits than its factorization.

400200222202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24886 (or 24880 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 400200222202002 its reverse (200202222002004), we get a palindrome (600402444204006).

The spelling of 400200222202002 in words is "four hundred trillion, two hundred billion, two hundred twenty-two million, two hundred two thousand, two".