408428648240640 has 80 divisors (see below), whose sum is σ = 1305695334868848. Its totient is φ = 108914306195456.

The previous prime is 408428648240623. The next prime is 408428648240719. The reversal of 408428648240640 is 46042846824804.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26590399107 + ... + 26590414466.

Almost surely, 2^{408428648240640} is an apocalyptic number.

408428648240640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408428648240640 is an abundant number, since it is smaller than the sum of its proper divisors (897266686628208).

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

408428648240640 is an equidigital number, since it uses as much as digits as its factorization.

408428648240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53180813599 (or 53180813583 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 60.

The spelling of 408428648240640 in words is "four hundred eight trillion, four hundred twenty-eight billion, six hundred forty-eight million, two hundred forty thousand, six hundred forty".