405189022050 has 162 divisors, whose sum is σ = 1120206120579. Its totient is φ = 105000494400.

The previous prime is 405189022031. The next prime is 405189022097. The reversal of 405189022050 is 50220981504.

405189022050 is a `hidden beast` number, since 4 + 0 + 518 + 90 + 2 + 2 + 0 + 50 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 321363138321 + 83825883729 = 566889^2 + 289527^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=450105.

It is a junction number, because it is equal to n+sod(n) for n = 405189021996 and 405189022014.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 499616145 + ... + 499616955.

Almost surely, 2^405189022050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405189022050

405189022050 is an abundant number, since it is smaller than the sum of its proper divisors (715017098529).

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

405189022050 is an equidigital number, since it uses as much as digits as its factorization.

405189022050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 405189022050 in words is "four hundred five billion, one hundred eighty-nine million, twenty-two thousand, fifty".