10405222310034 has 12 divisors (see below), whose sum is σ = 22544648338446. Its totient is φ = 3468407436672.

The previous prime is 10405222310033. The next prime is 10405222310053. The reversal of 10405222310034 is 43001322250401.

10405222310034 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 522 + 2 + 3 + 100 + 34 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7539159537009 + 2866062773025 = 2745753^2 + 1692945^2 .

It is not an unprimeable number, because it can be changed into a prime (10405222310033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289033953039 + ... + 289033953074.

Almost surely, 2^{10405222310034} is an apocalyptic number.

10405222310034 is an abundant number, since it is smaller than the sum of its proper divisors (12139426028412).

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

10405222310034 is a wasteful number, since it uses less digits than its factorization.

10405222310034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578067906121 (or 578067906118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10405222310034 its reverse (43001322250401), we get a palindrome (53406544560435).

The spelling of 10405222310034 in words is "ten trillion, four hundred five billion, two hundred twenty-two million, three hundred ten thousand, thirty-four".