400224403421200 has 30 divisors (see below), whose sum is σ = 961539129220394. Its totient is φ = 160089761368320.

The previous prime is 400224403421197. The next prime is 400224403421209. The reversal of 400224403421200 is 2124304422004.

It can be written as a sum of positive squares in 3 ways, for example, as 454130427664 + 399770272993536 = 673892^2 + 19994256^2 .

It is not an unprimeable number, because it can be changed into a prime (400224403421209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500280503877 + ... + 500280504676.

Almost surely, 2^{400224403421200} is an apocalyptic number.

400224403421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400224403421200 is an abundant number, since it is smaller than the sum of its proper divisors (561314725799194).

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

400224403421200 is a wasteful number, since it uses less digits than its factorization.

400224403421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000561008571 (or 1000561008560 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 400224403421200 its reverse (2124304422004), we get a palindrome (402348707843204).

The spelling of 400224403421200 in words is "four hundred trillion, two hundred twenty-four billion, four hundred three million, four hundred twenty-one thousand, two hundred".