408041560512 has 168 divisors, whose sum is σ = 1238759881632. Its totient is φ = 127973376000.

The previous prime is 408041560489. The next prime is 408041560513. The reversal of 408041560512 is 215065140804.

It is a happy number.

408041560512 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 41 + 5 + 605 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408041560513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62283637 + ... + 62290187.

It is an arithmetic number, because the mean of its divisors is an integer number (7373570724).

Almost surely, 2^408041560512 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 408041560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619379940816).

408041560512 is an abundant number, since it is smaller than the sum of its proper divisors (830718321120).

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

408041560512 is a wasteful number, since it uses less digits than its factorization.

408041560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12934 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 408041560512 in words is "four hundred eight billion, forty-one million, five hundred sixty thousand, five hundred twelve".