351205351040 has 128 divisors (see below), whose sum is σ = 896239728000. Its totient is φ = 131213537280.

The previous prime is 351205351039. The next prime is 351205351061. The reversal of 351205351040 is 40153502153.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 351205350994 and 351205351012.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 659966 + ... + 1066754.

It is an arithmetic number, because the mean of its divisors is an integer number (7001872875).

Almost surely, 2^351205351040 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 351205351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448119864000).

351205351040 is an abundant number, since it is smaller than the sum of its proper divisors (545034376960).

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

351205351040 is a wasteful number, since it uses less digits than its factorization.

351205351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406898 (or 406886 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 351205351040 its reverse (40153502153), we get a palindrome (391358853193).

The spelling of 351205351040 in words is "three hundred fifty-one billion, two hundred five million, three hundred fifty-one thousand, forty".