408047109120 has 1056 divisors, whose sum is σ = 1667679436800. Its totient is φ = 90333315072.

The previous prime is 408047109089. The next prime is 408047109133. The reversal of 408047109120 is 21901740804.

408047109120 is a `hidden beast` number, since 4 + 0 + 80 + 471 + 0 + 91 + 20 = 666.

It is a super-2 number, since 2×408047109120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1707309961 + ... + 1707310199.

Almost surely, 2^408047109120 is an apocalyptic number.

408047109120 is a gapful number since it is divisible by the number (40) 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 408047109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833839718400).

408047109120 is an abundant number, since it is smaller than the sum of its proper divisors (1259632327680).

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

408047109120 is a wasteful number, since it uses less digits than its factorization.

408047109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 408047109120 its reverse (21901740804), we get a palindrome (429948849924).

The spelling of 408047109120 in words is "four hundred eight billion, forty-seven million, one hundred nine thousand, one hundred twenty".