405348045312 has 960 divisors, whose sum is σ = 1395433543680. Its totient is φ = 103840579584.

The previous prime is 405348045299. The next prime is 405348045317. The reversal of 405348045312 is 213540843504.

It is not an unprimeable number, because it can be changed into a prime (405348045317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2486797743 + ... + 2486797905.

It is an arithmetic number, because the mean of its divisors is an integer number (1453576608).

Almost surely, 2^405348045312 is an apocalyptic number.

405348045312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405348045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697716771840).

405348045312 is an abundant number, since it is smaller than the sum of its proper divisors (990085498368).

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

405348045312 is a wasteful number, since it uses less digits than its factorization.

405348045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 405348045312 its reverse (213540843504), we get a palindrome (618888888816).

The spelling of 405348045312 in words is "four hundred five billion, three hundred forty-eight million, forty-five thousand, three hundred twelve".