10114404144 has 160 divisors (see below), whose sum is σ = 29302166208. Its totient is φ = 2985984000.

The previous prime is 10114404137. The next prime is 10114404149. The reversal of 10114404144 is 44140441101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10114404149) 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, 1557384 + ... + 1563864.

Almost surely, 2^10114404144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651083104).

10114404144 is an abundant number, since it is smaller than the sum of its proper divisors (19187762064).

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

10114404144 is a wasteful number, since it uses less digits than its factorization.

10114404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10114404144 its reverse (44140441101), we get a palindrome (54254845245).

The spelling of 10114404144 in words is "ten billion, one hundred fourteen million, four hundred four thousand, one hundred forty-four".