400111212200 has 192 divisors, whose sum is σ = 1083031931520. Its totient is φ = 134626176000.

The previous prime is 400111212181. The next prime is 400111212247. The reversal of 400111212200 is 2212111004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39364319 + ... + 39374481.

It is an arithmetic number, because the mean of its divisors is an integer number (5640791310).

Almost surely, 2^400111212200 is an apocalyptic number.

400111212200 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 400111212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541515965760).

400111212200 is an abundant number, since it is smaller than the sum of its proper divisors (682920719320).

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

400111212200 is a wasteful number, since it uses less digits than its factorization.

400111212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 400111212200 its reverse (2212111004), we get a palindrome (402323323204).

The spelling of 400111212200 in words is "four hundred billion, one hundred eleven million, two hundred twelve thousand, two hundred".