405516112224 has 48 divisors (see below), whose sum is σ = 1064662341120. Its totient is φ = 135148856960.

The previous prime is 405516112159. The next prime is 405516112249. The reversal of 405516112224 is 422211615504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205129 + ... + 923639.

It is an arithmetic number, because the mean of its divisors is an integer number (22180465440).

Almost surely, 2^405516112224 is an apocalyptic number.

It is an amenable number.

405516112224 is an abundant number, since it is smaller than the sum of its proper divisors (659146228896).

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

405516112224 is a wasteful number, since it uses less digits than its factorization.

405516112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724403 (or 724395 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 405516112224 its reverse (422211615504), we get a palindrome (827727727728).

The spelling of 405516112224 in words is "four hundred five billion, five hundred sixteen million, one hundred twelve thousand, two hundred twenty-four".