10440114432 has 144 divisors (see below), whose sum is σ = 30407361600. Its totient is φ = 3153715200.

The previous prime is 10440114407. The next prime is 10440114467. The reversal of 10440114432 is 23441104401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946582 + ... + 2950122.

Almost surely, 2^10440114432 is an apocalyptic number.

10440114432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203680800).

10440114432 is an abundant number, since it is smaller than the sum of its proper divisors (19967247168).

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

10440114432 is a wasteful number, since it uses less digits than its factorization.

10440114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10440114432 its reverse (23441104401), we get a palindrome (33881218833).

The spelling of 10440114432 in words is "ten billion, four hundred forty million, one hundred fourteen thousand, four hundred thirty-two".