353522112240 has 320 divisors, whose sum is σ = 1259459389440. Its totient is φ = 81127941120.

The previous prime is 353522112187. The next prime is 353522112247. The reversal of 353522112240 is 42211225353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 353522112198 and 353522112207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353522112247) 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, 99666147 + ... + 99669693.

It is an arithmetic number, because the mean of its divisors is an integer number (3935810592).

Almost surely, 2^353522112240 is an apocalyptic number.

353522112240 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 353522112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629729694720).

353522112240 is an abundant number, since it is smaller than the sum of its proper divisors (905937277200).

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

353522112240 is a wasteful number, since it uses less digits than its factorization.

353522112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 353522112240 its reverse (42211225353), we get a palindrome (395733337593).

The spelling of 353522112240 in words is "three hundred fifty-three billion, five hundred twenty-two million, one hundred twelve thousand, two hundred forty".