10440310144 has 192 divisors, whose sum is σ = 24123718080. Its totient is φ = 4462515200.

The previous prime is 10440310129. The next prime is 10440310163. The reversal of 10440310144 is 44101304401.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79696959 + ... + 79697089.

It is an arithmetic number, because the mean of its divisors is an integer number (125644365).

Almost surely, 2^10440310144 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 10440310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061859040).

10440310144 is an abundant number, since it is smaller than the sum of its proper divisors (13683407936).

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

10440310144 is a wasteful number, since it uses less digits than its factorization.

10440310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10440310144 its reverse (44101304401), we get a palindrome (54541614545).

The spelling of 10440310144 in words is "ten billion, four hundred forty million, three hundred ten thousand, one hundred forty-four".