405213502240 has 48 divisors (see below), whose sum is σ = 971605236672. Its totient is φ = 159666211584.

The previous prime is 405213502229. The next prime is 405213502271. The reversal of 405213502240 is 42205312504.

It is a junction number, because it is equal to n+sod(n) for n = 405213502199 and 405213502208.

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 7 ways as a sum of consecutive naturals, for example, 18889164 + ... + 18910603.

It is an arithmetic number, because the mean of its divisors is an integer number (20241775764).

Almost surely, 2^405213502240 is an apocalyptic number.

405213502240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405213502240 is an abundant number, since it is smaller than the sum of its proper divisors (566391734432).

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

405213502240 is a wasteful number, since it uses less digits than its factorization.

405213502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37799849 (or 37799841 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 405213502240 its reverse (42205312504), we get a palindrome (447418814744).

The spelling of 405213502240 in words is "four hundred five billion, two hundred thirteen million, five hundred two thousand, two hundred forty".