409651676448 has 96 divisors (see below), whose sum is σ = 1268598804480. Its totient is φ = 113267738880.

The previous prime is 409651676437. The next prime is 409651676477. The reversal of 409651676448 is 844676156904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 409651676391 and 409651676400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9811438 + ... + 9853101.

It is an arithmetic number, because the mean of its divisors is an integer number (13214570880).

Almost surely, 2^409651676448 is an apocalyptic number.

409651676448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409651676448 is an abundant number, since it is smaller than the sum of its proper divisors (858947128032).

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

409651676448 is a wasteful number, since it uses less digits than its factorization.

409651676448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19664590 (or 19664582 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 409651676448 in words is "four hundred nine billion, six hundred fifty-one million, six hundred seventy-six thousand, four hundred forty-eight".