408563867712 has 896 divisors, whose sum is σ = 1494407577600. Its totient is φ = 95103590400.

The previous prime is 408563867707. The next prime is 408563867749. The reversal of 408563867712 is 217768365804.

It is a super-2 number, since 2×408563867712² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1078004739 + ... + 1078005117.

It is an arithmetic number, because the mean of its divisors is an integer number (1667865600).

Almost surely, 2^408563867712 is an apocalyptic number.

408563867712 is a gapful number since it is divisible by the number (42) 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 408563867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747203788800).

408563867712 is an abundant number, since it is smaller than the sum of its proper divisors (1085843709888).

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

408563867712 is a wasteful number, since it uses less digits than its factorization.

408563867712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 408563867712 in words is "four hundred eight billion, five hundred sixty-three million, eight hundred sixty-seven thousand, seven hundred twelve".