10144001034 has 64 divisors (see below), whose sum is σ = 22892544000. Its totient is φ = 3328925040.

The previous prime is 10144001033. The next prime is 10144001069. The reversal of 10144001034 is 43010044101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10144000998 and 10144001016.

It is not an unprimeable number, because it can be changed into a prime (10144001033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3522007 + ... + 3524885.

It is an arithmetic number, because the mean of its divisors is an integer number (357696000).

Almost surely, 2^10144001034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144001034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446272000).

10144001034 is an abundant number, since it is smaller than the sum of its proper divisors (12748542966).

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

10144001034 is a wasteful number, since it uses less digits than its factorization.

10144001034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3874 counting only the distinct ones).

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

Adding to 10144001034 its reverse (43010044101), we get a palindrome (53154045135).

The spelling of 10144001034 in words is "ten billion, one hundred forty-four million, one thousand, thirty-four".