400200223414200 has 384 divisors, whose sum is σ = 1437537099237120. Its totient is φ = 91023224627200.

The previous prime is 400200223414151. The next prime is 400200223414237. The reversal of 400200223414200 is 2414322002004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29941459 + ... + 41193341.

It is an arithmetic number, because the mean of its divisors is an integer number (3743586195930).

Almost surely, 2^{400200223414200} is an apocalyptic number.

400200223414200 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 400200223414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718768549618560).

400200223414200 is an abundant number, since it is smaller than the sum of its proper divisors (1037336875822920).

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

400200223414200 is a wasteful number, since it uses less digits than its factorization.

400200223414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252247 (or 11252238 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 400200223414200 its reverse (2414322002004), we get a palindrome (402614545416204).

The spelling of 400200223414200 in words is "four hundred trillion, two hundred billion, two hundred twenty-three million, four hundred fourteen thousand, two hundred".