405288542016 has 126 divisors (see below), whose sum is σ = 1200370654626. Its totient is φ = 130738060800.

The previous prime is 405288541963. The next prime is 405288542017. The reversal of 405288542016 is 610245882504.

405288542016 is a `hidden beast` number, since 4 + 0 + 528 + 85 + 42 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404648654400 + 639887616 = 636120^2 + 25296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405288542017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 187446 + ... + 919626.

Almost surely, 2^405288542016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405288542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600185327313).

405288542016 is an abundant number, since it is smaller than the sum of its proper divisors (795082112610).

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

405288542016 is a wasteful number, since it uses less digits than its factorization.

405288542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732261 (or 732217 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 405288542016 in words is "four hundred five billion, two hundred eighty-eight million, five hundred forty-two thousand, sixteen".