401202412200 has 240 divisors, whose sum is σ = 1413065316960. Its totient is φ = 105480144000.

The previous prime is 401202412187. The next prime is 401202412217. The reversal of 401202412200 is 2214202104.

401202412200 is a `hidden beast` number, since 40 + 12 + 0 + 2 + 412 + 200 = 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 59 ways as a sum of consecutive naturals, for example, 975795 + ... + 1324605.

It is an arithmetic number, because the mean of its divisors is an integer number (5887772154).

Almost surely, 2^401202412200 is an apocalyptic number.

401202412200 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 401202412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706532658480).

401202412200 is an abundant number, since it is smaller than the sum of its proper divisors (1011862904760).

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

401202412200 is a wasteful number, since it uses less digits than its factorization.

401202412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348910 (or 348892 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 401202412200 its reverse (2214202104), we get a palindrome (403416614304).

The spelling of 401202412200 in words is "four hundred one billion, two hundred two million, four hundred twelve thousand, two hundred".