405442044201200 has 120 divisors (see below), whose sum is σ = 975204659395200. Its totient is φ = 161988681358080.

The previous prime is 405442044201197. The next prime is 405442044201239. The reversal of 405442044201200 is 2102440244504.

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 23 ways as a sum of consecutive naturals, for example, 6594345659 + ... + 6594407141.

It is an arithmetic number, because the mean of its divisors is an integer number (8126705494960).

Almost surely, 2^{405442044201200} is an apocalyptic number.

405442044201200 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 405442044201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487602329697600).

405442044201200 is an abundant number, since it is smaller than the sum of its proper divisors (569762615194000).

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

405442044201200 is a wasteful number, since it uses less digits than its factorization.

405442044201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80359 (or 80348 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 405442044201200 its reverse (2102440244504), we get a palindrome (407544484445704).

The spelling of 405442044201200 in words is "four hundred five trillion, four hundred forty-two billion, forty-four million, two hundred one thousand, two hundred".