350433142113320 has 128 divisors (see below), whose sum is σ = 954294700147200. Its totient is φ = 113060299309056.

The previous prime is 350433142113253. The next prime is 350433142113323. The reversal of 350433142113320 is 23311241334053.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (350433142113323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19361624 + ... + 32798456.

It is an arithmetic number, because the mean of its divisors is an integer number (7455427344900).

Almost surely, 2^{350433142113320} 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 350433142113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477147350073600).

350433142113320 is an abundant number, since it is smaller than the sum of its proper divisors (603861558033880).

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

350433142113320 is a wasteful number, since it uses less digits than its factorization.

350433142113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442347 (or 13442343 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 350433142113320 its reverse (23311241334053), we get a palindrome (373744383447373).

The spelling of 350433142113320 in words is "three hundred fifty trillion, four hundred thirty-three billion, one hundred forty-two million, one hundred thirteen thousand, three hundred twenty".