405212315504334 has 128 divisors (see below), whose sum is σ = 912298218789888. Its totient is φ = 119052047600640.

The previous prime is 405212315504323. The next prime is 405212315504453. The reversal of 405212315504334 is 433405513212504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12055209312 + ... + 12055242924.

It is an arithmetic number, because the mean of its divisors is an integer number (7127329834296).

Almost surely, 2^{405212315504334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405212315504334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456149109394944).

405212315504334 is an abundant number, since it is smaller than the sum of its proper divisors (507085903285554).

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

405212315504334 is a wasteful number, since it uses less digits than its factorization.

405212315504334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45162.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 405212315504334 its reverse (433405513212504), we get a palindrome (838617828716838).

The spelling of 405212315504334 in words is "four hundred five trillion, two hundred twelve billion, three hundred fifteen million, five hundred four thousand, three hundred thirty-four".