408414414980 has 96 divisors (see below), whose sum is σ = 1024691230080. Its totient is φ = 134766535680.

The previous prime is 408414414953. The next prime is 408414415043. The reversal of 408414414980 is 89414414804.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1041449 + ... + 1378928.

It is an arithmetic number, because the mean of its divisors is an integer number (10673866980).

Almost surely, 2^408414414980 is an apocalyptic number.

It is an amenable number.

408414414980 is an abundant number, since it is smaller than the sum of its proper divisors (616276815100).

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

408414414980 is a wasteful number, since it uses less digits than its factorization.

408414414980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420469 (or 2420467 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 408414414980 in words is "four hundred eight billion, four hundred fourteen million, four hundred fourteen thousand, nine hundred eighty".