351443104342000 has 320 divisors, whose sum is σ = 935166106967040. Its totient is φ = 126682195584000.

The previous prime is 351443104341871. The next prime is 351443104342009. The reversal of 351443104342000 is 243401344153.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351443104342009) 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, 1248205237 + ... + 1248486763.

It is an arithmetic number, because the mean of its divisors is an integer number (2922394084272).

Almost surely, 2^{351443104342000} 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 351443104342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467583053483520).

351443104342000 is an abundant number, since it is smaller than the sum of its proper divisors (583723002625040).

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

351443104342000 is a wasteful number, since it uses less digits than its factorization.

351443104342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282057 (or 282041 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 351443104342000 its reverse (243401344153), we get a palindrome (351686505686153).

The spelling of 351443104342000 in words is "three hundred fifty-one trillion, four hundred forty-three billion, one hundred four million, three hundred forty-two thousand".