408312161268 has 96 divisors (see below), whose sum is σ = 1056682701312. Its totient is φ = 121667529600.

The previous prime is 408312161263. The next prime is 408312161347. The reversal of 408312161268 is 862161213804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408312161261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45755055 + ... + 45763977.

It is an arithmetic number, because the mean of its divisors is an integer number (11007111472).

Almost surely, 2^408312161268 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 408312161268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528341350656).

408312161268 is an abundant number, since it is smaller than the sum of its proper divisors (648370540044).

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

408312161268 is a wasteful number, since it uses less digits than its factorization.

408312161268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14685 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 408312161268 in words is "four hundred eight billion, three hundred twelve million, one hundred sixty-one thousand, two hundred sixty-eight".