405821964960 has 288 divisors, whose sum is σ = 1399078895760. Its totient is φ = 107114102784.

The previous prime is 405821964949. The next prime is 405821964967. The reversal of 405821964960 is 69469128504.

405821964960 is a `hidden beast` number, since 4 + 0 + 582 + 19 + 6 + 49 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 913731984 + 404908232976 = 30228^2 + 636324^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 405821964897 and 405821964906.

It is not an unprimeable number, because it can be changed into a prime (405821964967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60812184 + ... + 60818856.

Almost surely, 2^405821964960 is an apocalyptic number.

405821964960 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 405821964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699539447880).

405821964960 is an abundant number, since it is smaller than the sum of its proper divisors (993256930800).

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

405821964960 is a wasteful number, since it uses less digits than its factorization.

405821964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 405821964960 in words is "four hundred five billion, eight hundred twenty-one million, nine hundred sixty-four thousand, nine hundred sixty".