410412404431200 has 288 divisors, whose sum is σ = 1419103459065600. Its totient is φ = 102731911096320.

The previous prime is 410412404431199. The next prime is 410412404431273. The reversal of 410412404431200 is 2134404214014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36315252 + ... + 46256051.

It is an arithmetic number, because the mean of its divisors is an integer number (4927442566200).

Almost surely, 2^{410412404431200} is an apocalyptic number.

410412404431200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410412404431200 is an abundant number, since it is smaller than the sum of its proper divisors (1008691054634400).

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

410412404431200 is a wasteful number, since it uses less digits than its factorization.

410412404431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82571454 (or 82571441 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 410412404431200 its reverse (2134404214014), we get a palindrome (412546808645214).

The spelling of 410412404431200 in words is "four hundred ten trillion, four hundred twelve billion, four hundred four million, four hundred thirty-one thousand, two hundred".