409863627264 has 640 divisors, whose sum is σ = 1425068789760. Its totient is φ = 101650857984.

The previous prime is 409863627221. The next prime is 409863627361. The reversal of 409863627264 is 462726368904.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416951317 + ... + 416952299.

It is an arithmetic number, because the mean of its divisors is an integer number (2226669984).

Almost surely, 2^409863627264 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 409863627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712534394880).

409863627264 is an abundant number, since it is smaller than the sum of its proper divisors (1015205162496).

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

409863627264 is a wasteful number, since it uses less digits than its factorization.

409863627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 409863627264 in words is "four hundred nine billion, eight hundred sixty-three million, six hundred twenty-seven thousand, two hundred sixty-four".