10034440412334 has 64 divisors (see below), whose sum is σ = 21982274899200. Its totient is φ = 3034731071232.

The previous prime is 10034440412329. The next prime is 10034440412371. The reversal of 10034440412334 is 43321404443001.

It is a junction number, because it is equal to n+sod(n) for n = 10034440412295 and 10034440412304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30962122 + ... + 31284530.

It is an arithmetic number, because the mean of its divisors is an integer number (343473045300).

Almost surely, 2^{10034440412334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034440412334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10991137449600).

10034440412334 is an abundant number, since it is smaller than the sum of its proper divisors (11947834486866).

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

10034440412334 is a wasteful number, since it uses less digits than its factorization.

10034440412334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329249.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10034440412334 its reverse (43321404443001), we get a palindrome (53355844855335).

The spelling of 10034440412334 in words is "ten trillion, thirty-four billion, four hundred forty million, four hundred twelve thousand, three hundred thirty-four".