10034400222324 has 72 divisors (see below), whose sum is σ = 25605087548040. Its totient is φ = 3313123430400.

The previous prime is 10034400222313. The next prime is 10034400222347. The reversal of 10034400222324 is 42322200443001.

10034400222324 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 400 + 22 + 232 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1422628707600 + 8611771514724 = 1192740^2 + 2934582^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12808144 + ... + 13568984.

It is an arithmetic number, because the mean of its divisors is an integer number (355626215945).

Almost surely, 2^{10034400222324} is an apocalyptic number.

It is an amenable number.

10034400222324 is an abundant number, since it is smaller than the sum of its proper divisors (15570687325716).

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

10034400222324 is a wasteful number, since it uses less digits than its factorization.

10034400222324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764321 (or 764316 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10034400222324 its reverse (42322200443001), we get a palindrome (52356600665325).

The spelling of 10034400222324 in words is "ten trillion, thirty-four billion, four hundred million, two hundred twenty-two thousand, three hundred twenty-four".