10404513342234 has 192 divisors, whose sum is σ = 26943101902080. Its totient is φ = 2864445696000.

The previous prime is 10404513342233. The next prime is 10404513342281. The reversal of 10404513342234 is 43224331540401.

10404513342234 is a `hidden beast` number, since 1 + 0 + 40 + 4 + 51 + 334 + 2 + 234 = 666.

It is a super-2 number, since 2×10404513342234² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10404513342233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568201939 + ... + 568220249.

It is an arithmetic number, because the mean of its divisors is an integer number (140328655740).

Almost surely, 2^{10404513342234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404513342234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471550951040).

10404513342234 is an abundant number, since it is smaller than the sum of its proper divisors (16538588559846).

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

10404513342234 is a wasteful number, since it uses less digits than its factorization.

10404513342234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24197 (or 24194 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 10404513342234 its reverse (43224331540401), we get a palindrome (53628844882635).

The spelling of 10404513342234 in words is "ten trillion, four hundred four billion, five hundred thirteen million, three hundred forty-two thousand, two hundred thirty-four".