405343050452000 has 192 divisors, whose sum is σ = 1015069331858400. Its totient is φ = 159023100620800.

The previous prime is 405343050451987. The next prime is 405343050452047. The reversal of 405343050452000 is 254050343504.

It can be written as a sum of positive squares in 16 ways, for example, as 16397284014736 + 388945766437264 = 4049356^2 + 19721708^2 .

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, 616379366 + ... + 617036634.

Almost surely, 2^{405343050452000} is an apocalyptic number.

405343050452000 is a gapful number since it is divisible by the number (40) 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 405343050452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507534665929200).

405343050452000 is an abundant number, since it is smaller than the sum of its proper divisors (609726281406400).

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

405343050452000 is a wasteful number, since it uses less digits than its factorization.

405343050452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660256 (or 660238 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 405343050452000 in words is "four hundred five trillion, three hundred forty-three billion, fifty million, four hundred fifty-two thousand".