409761321648 has 120 divisors (see below), whose sum is σ = 1231850875248. Its totient is φ = 117029380608.

The previous prime is 409761321569. The next prime is 409761321653. The reversal of 409761321648 is 846123167904.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 409761321648.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6301590 + ... + 6366282.

Almost surely, 2^409761321648 is an apocalyptic number.

409761321648 is a gapful number since it is divisible by the number (48) 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 409761321648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615925437624).

409761321648 is an abundant number, since it is smaller than the sum of its proper divisors (822089553600).

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

409761321648 is a wasteful number, since it uses less digits than its factorization.

409761321648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67411 (or 67398 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 409761321648 in words is "four hundred nine billion, seven hundred sixty-one million, three hundred twenty-one thousand, six hundred forty-eight".