10434450144 has 96 divisors (see below), whose sum is σ = 28203015456. Its totient is φ = 3375841280.

The previous prime is 10434450109. The next prime is 10434450149. The reversal of 10434450144 is 44105443401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434450149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768664 + ... + 782120.

It is an arithmetic number, because the mean of its divisors is an integer number (293781411).

Almost surely, 2^10434450144 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 10434450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101507728).

10434450144 is an abundant number, since it is smaller than the sum of its proper divisors (17768565312).

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

10434450144 is a wasteful number, since it uses less digits than its factorization.

10434450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13708 (or 13700 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10434450144 its reverse (44105443401), we get a palindrome (54539893545).

The spelling of 10434450144 in words is "ten billion, four hundred thirty-four million, four hundred fifty thousand, one hundred forty-four".