35042114304 has 216 divisors, whose sum is σ = 106273544832. Its totient is φ = 11089428480.

The previous prime is 35042114291. The next prime is 35042114309. The reversal of 35042114304 is 40341124053.

It is a happy number.

35042114304 is a `hidden beast` number, since 350 + 4 + 2 + 1 + 1 + 4 + 304 = 666.

It is not an unprimeable number, because it can be changed into a prime (35042114309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3780844 + ... + 3790100.

It is an arithmetic number, because the mean of its divisors is an integer number (492007152).

Almost surely, 2^35042114304 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 35042114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136772416).

35042114304 is an abundant number, since it is smaller than the sum of its proper divisors (71231430528).

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

35042114304 is a wasteful number, since it uses less digits than its factorization.

35042114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9346 counting only the distinct ones).

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

Adding to 35042114304 its reverse (40341124053), we get a palindrome (75383238357).

The spelling of 35042114304 in words is "thirty-five billion, forty-two million, one hundred fourteen thousand, three hundred four".