405412005024 has 144 divisors (see below), whose sum is σ = 1251351908352. Its totient is φ = 123759788544.

The previous prime is 405412005013. The next prime is 405412005043. The reversal of 405412005024 is 420500214504.

405412005024 is a `hidden beast` number, since 405 + 4 + 1 + 200 + 50 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49177 + ... + 901799.

It is an arithmetic number, because the mean of its divisors is an integer number (8689943808).

Almost surely, 2^405412005024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405412005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625675954176).

405412005024 is an abundant number, since it is smaller than the sum of its proper divisors (845939903328).

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

405412005024 is a wasteful number, since it uses less digits than its factorization.

405412005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852779 (or 852768 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 405412005024 its reverse (420500214504), we get a palindrome (825912219528).

The spelling of 405412005024 in words is "four hundred five billion, four hundred twelve million, five thousand, twenty-four".