405344553200 has 120 divisors (see below), whose sum is σ = 981935961600. Its totient is φ = 160794305280.

The previous prime is 405344553191. The next prime is 405344553209. The reversal of 405344553200 is 2355443504.

It is an interprime number because it is at equal distance from previous prime (405344553191) and next prime (405344553209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405344553209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31224311 + ... + 31237289.

It is an arithmetic number, because the mean of its divisors is an integer number (8182799680).

Almost surely, 2^405344553200 is an apocalyptic number.

405344553200 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 405344553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490967980800).

405344553200 is an abundant number, since it is smaller than the sum of its proper divisors (576591408400).

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

405344553200 is a wasteful number, since it uses less digits than its factorization.

405344553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 405344553200 its reverse (2355443504), we get a palindrome (407699996704).

The spelling of 405344553200 in words is "four hundred five billion, three hundred forty-four million, five hundred fifty-three thousand, two hundred".