350356412404000 has 96 divisors (see below), whose sum is σ = 860909276603376. Its totient is φ = 140128959539200.

The previous prime is 350356412403979. The next prime is 350356412404003. The reversal of 350356412404000 is 404214653053.

It can be written as a sum of positive squares in 8 ways, for example, as 84681147399696 + 265675265004304 = 9202236^2 + 16299548^2 .

It is not an unprimeable number, because it can be changed into a prime (350356412404003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37005462 + ... + 45498538.

Almost surely, 2^{350356412404000} is an apocalyptic number.

It is an amenable number.

350356412404000 is an abundant number, since it is smaller than the sum of its proper divisors (510552864199376).

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

350356412404000 is a wasteful number, since it uses less digits than its factorization.

350356412404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503415 (or 8503397 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 350356412404000 in words is "three hundred fifty trillion, three hundred fifty-six billion, four hundred twelve million, four hundred four thousand".