408857330112 has 896 divisors, whose sum is σ = 1459700367360. Its totient is φ = 97820835840.

The previous prime is 408857330083. The next prime is 408857330113. The reversal of 408857330112 is 211033758804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408857330113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2604186738 + ... + 2604186894.

Almost surely, 2^408857330112 is an apocalyptic number.

408857330112 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 408857330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729850183680).

408857330112 is an abundant number, since it is smaller than the sum of its proper divisors (1050843037248).

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

408857330112 is a wasteful number, since it uses less digits than its factorization.

408857330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 408857330112 in words is "four hundred eight billion, eight hundred fifty-seven million, three hundred thirty thousand, one hundred twelve".