405305012352 has 256 divisors, whose sum is σ = 1111261472640. Its totient is φ = 130830336000.

The previous prime is 405305012297. The next prime is 405305012393. The reversal of 405305012352 is 253210503504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749177202 + ... + 749177742.

Almost surely, 2^405305012352 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 405305012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555630736320).

405305012352 is an abundant number, since it is smaller than the sum of its proper divisors (705956460288).

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

405305012352 is a wasteful number, since it uses less digits than its factorization.

405305012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 405305012352 its reverse (253210503504), we get a palindrome (658515515856).

The spelling of 405305012352 in words is "four hundred five billion, three hundred five million, twelve thousand, three hundred fifty-two".