405544200240 has 80 divisors (see below), whose sum is σ = 1257333954048. Its totient is φ = 108132480768.

The previous prime is 405544200221. The next prime is 405544200277. The reversal of 405544200240 is 42002445504.

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 = 405544200198 and 405544200207.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2056857 + ... + 2245383.

Almost surely, 2^405544200240 is an apocalyptic number.

405544200240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405544200240 is an abundant number, since it is smaller than the sum of its proper divisors (851789753808).

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

405544200240 is a wasteful number, since it uses less digits than its factorization.

405544200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197506 (or 197500 counting only the distinct ones).

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

Adding to 405544200240 its reverse (42002445504), we get a palindrome (447546645744).

The spelling of 405544200240 in words is "four hundred five billion, five hundred forty-four million, two hundred thousand, two hundred forty".