350303104400 has 120 divisors (see below), whose sum is σ = 850437488160. Its totient is φ = 138657899520.

The previous prime is 350303104379. The next prime is 350303104409. The reversal of 350303104400 is 4401303053.

It is not an unprimeable number, because it can be changed into a prime (350303104409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15180071 + ... + 15203129.

It is an arithmetic number, because the mean of its divisors is an integer number (7086979068).

Almost surely, 2^350303104400 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 350303104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425218744080).

350303104400 is an abundant number, since it is smaller than the sum of its proper divisors (500134383760).

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

350303104400 is a wasteful number, since it uses less digits than its factorization.

350303104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23473 (or 23462 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 350303104400 its reverse (4401303053), we get a palindrome (354704407453).

The spelling of 350303104400 in words is "three hundred fifty billion, three hundred three million, one hundred four thousand, four hundred".