409330979328 has 160 divisors (see below), whose sum is σ = 1098509905152. Its totient is φ = 135442944000.

The previous prime is 409330979293. The next prime is 409330979333. The reversal of 409330979328 is 823979033904.

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, 143573103 + ... + 143575953.

Almost surely, 2^409330979328 is an apocalyptic number.

409330979328 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 409330979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549254952576).

409330979328 is an abundant number, since it is smaller than the sum of its proper divisors (689178925824).

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

409330979328 is a wasteful number, since it uses less digits than its factorization.

409330979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 409330979328 in words is "four hundred nine billion, three hundred thirty million, nine hundred seventy-nine thousand, three hundred twenty-eight".