353409822240 has 384 divisors, whose sum is σ = 1199930941440. Its totient is φ = 87151915008.

The previous prime is 353409822191. The next prime is 353409822277. The reversal of 353409822240 is 42228904353.

It is a junction number, because it is equal to n+sod(n) for n = 353409822192 and 353409822201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208746834 + ... + 208748526.

It is an arithmetic number, because the mean of its divisors is an integer number (3124820160).

Almost surely, 2^353409822240 is an apocalyptic number.

353409822240 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 353409822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599965470720).

353409822240 is an abundant number, since it is smaller than the sum of its proper divisors (846521119200).

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

353409822240 is a wasteful number, since it uses less digits than its factorization.

353409822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 353409822240 in words is "three hundred fifty-three billion, four hundred nine million, eight hundred twenty-two thousand, two hundred forty".