10134330444 has 192 divisors, whose sum is σ = 30828134400. Its totient is φ = 2819002176.

The previous prime is 10134330443. The next prime is 10134330469. The reversal of 10134330444 is 44403343101.

10134330444 is a `hidden beast` number, since 10 + 1 + 343 + 304 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10134330443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7922997 + ... + 7924275.

It is an arithmetic number, because the mean of its divisors is an integer number (160563200).

Almost surely, 2^10134330444 is an apocalyptic number.

10134330444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134330444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15414067200).

10134330444 is an abundant number, since it is smaller than the sum of its proper divisors (20693803956).

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

10134330444 is a wasteful number, since it uses less digits than its factorization.

10134330444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10134330444 its reverse (44403343101), we get a palindrome (54537673545).

The spelling of 10134330444 in words is "ten billion, one hundred thirty-four million, three hundred thirty thousand, four hundred forty-four".