405224520240 has 80 divisors (see below), whose sum is σ = 1259194406400. Its totient is φ = 107801945856.

The previous prime is 405224520221. The next prime is 405224520271. The reversal of 405224520240 is 42025422504.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 405224520198 and 405224520207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914280 + ... + 2115399.

It is an arithmetic number, because the mean of its divisors is an integer number (15739930080).

Almost surely, 2^405224520240 is an apocalyptic number.

405224520240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405224520240 is an abundant number, since it is smaller than the sum of its proper divisors (853969886160).

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

405224520240 is a wasteful number, since it uses less digits than its factorization.

405224520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030114 (or 4030108 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 405224520240 its reverse (42025422504), we get a palindrome (447249942744).

The spelling of 405224520240 in words is "four hundred five billion, two hundred twenty-four million, five hundred twenty thousand, two hundred forty".