353120324424 has 256 divisors, whose sum is σ = 1082878156800. Its totient is φ = 93838445568.

The previous prime is 353120324423. The next prime is 353120324449. The reversal of 353120324424 is 424423021353.

It is a super-2 number, since 2×353120324424² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (353120324423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12548482 + ... + 12576590.

It is an arithmetic number, because the mean of its divisors is an integer number (4229992800).

Almost surely, 2^353120324424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353120324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541439078400).

353120324424 is an abundant number, since it is smaller than the sum of its proper divisors (729757832376).

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

353120324424 is a wasteful number, since it uses less digits than its factorization.

353120324424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28252 (or 28248 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 353120324424 its reverse (424423021353), we get a palindrome (777543345777).

The spelling of 353120324424 in words is "three hundred fifty-three billion, one hundred twenty million, three hundred twenty-four thousand, four hundred twenty-four".