350354441200000 has 192 divisors, whose sum is σ = 873182687731200. Its totient is φ = 140017466880000.

The previous prime is 350354441199901. The next prime is 350354441200009. The reversal of 350354441200000 is 2144453053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350354441200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451212097 + ... + 451987903.

It is an arithmetic number, because the mean of its divisors is an integer number (4547826498600).

Almost surely, 2^{350354441200000} 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 350354441200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436591343865600).

350354441200000 is an abundant number, since it is smaller than the sum of its proper divisors (522828246531200).

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

350354441200000 is an frugal number, since it uses more digits than its factorization.

350354441200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776975 (or 776943 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 350354441200000 its reverse (2144453053), we get a palindrome (350356585653053).

The spelling of 350354441200000 in words is "three hundred fifty trillion, three hundred fifty-four billion, four hundred forty-one million, two hundred thousand".