351409904960 has 112 divisors (see below), whose sum is σ = 924540915456. Its totient is φ = 126543470592.

The previous prime is 351409904903. The next prime is 351409904987. The reversal of 351409904960 is 69409904153.

It is a junction number, because it is equal to n+sod(n) for n = 351409904899 and 351409904908.

It is a congruent number.

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, 1279172 + ... + 1529411.

Almost surely, 2^351409904960 is an apocalyptic number.

It is an amenable number.

351409904960 is an abundant number, since it is smaller than the sum of its proper divisors (573131010496).

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

351409904960 is a wasteful number, since it uses less digits than its factorization.

351409904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808640 (or 2808630 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 351409904960 in words is "three hundred fifty-one billion, four hundred nine million, nine hundred four thousand, nine hundred sixty".