405212440050 has 192 divisors, whose sum is σ = 1229482022400. Its totient is φ = 97314868800.

The previous prime is 405212440049. The next prime is 405212440063. The reversal of 405212440050 is 50044212504.

405212440050 is a `hidden beast` number, since 4 + 0 + 5 + 212 + 440 + 0 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 405212439996 and 405212440023.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1461441 + ... + 1716459.

It is an arithmetic number, because the mean of its divisors is an integer number (6403552200).

Almost surely, 2^405212440050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405212440050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614741011200).

405212440050 is an abundant number, since it is smaller than the sum of its proper divisors (824269582350).

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

405212440050 is a wasteful number, since it uses less digits than its factorization.

405212440050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255158 (or 255147 counting only the distinct ones).

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

Adding to 405212440050 its reverse (50044212504), we get a palindrome (455256652554).

The spelling of 405212440050 in words is "four hundred five billion, two hundred twelve million, four hundred forty thousand, fifty".