353409960960 has 528 divisors, whose sum is σ = 1402751390976. Its totient is φ = 80591486976.

The previous prime is 353409960901. The next prime is 353409960977. The reversal of 353409960960 is 69069904353.

It is a junction number, because it is equal to n+sod(n) for n = 353409960897 and 353409960906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176439319 + ... + 176441321.

Almost surely, 2^353409960960 is an apocalyptic number.

353409960960 is a gapful number since it is divisible by the number (30) 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 353409960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701375695488).

353409960960 is an abundant number, since it is smaller than the sum of its proper divisors (1049341430016).

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

353409960960 is a wasteful number, since it uses less digits than its factorization.

353409960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 353409960960 in words is "three hundred fifty-three billion, four hundred nine million, nine hundred sixty thousand, nine hundred sixty".