10001441034 has 64 divisors (see below), whose sum is σ = 24059414400. Its totient is φ = 3061380096.

The previous prime is 10001441017. The next prime is 10001441039. The reversal of 10001441034 is 43014410001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10001440998 and 10001441016.

It is not an unprimeable number, because it can be changed into a prime (10001441039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98577 + ... + 172395.

It is an arithmetic number, because the mean of its divisors is an integer number (375928350).

Almost surely, 2^10001441034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001441034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029707200).

10001441034 is an abundant number, since it is smaller than the sum of its proper divisors (14057973366).

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

10001441034 is a wasteful number, since it uses less digits than its factorization.

10001441034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74036 (or 74030 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10001441034 its reverse (43014410001), we get a palindrome (53015851035).

The spelling of 10001441034 in words is "ten billion, one million, four hundred forty-one thousand, thirty-four".