10424002144240 has 160 divisors (see below), whose sum is σ = 26063115978816. Its totient is φ = 3863240048640.

The previous prime is 10424002144163. The next prime is 10424002144243. The reversal of 10424002144240 is 4244120042401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10424002144199 and 10424002144208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424002144243) 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, 31554964 + ... + 31883596.

Almost surely, 2^{10424002144240} is an apocalyptic number.

10424002144240 is a gapful number since it is divisible by the number (10) 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 10424002144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031557989408).

10424002144240 is an abundant number, since it is smaller than the sum of its proper divisors (15639113834576).

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

10424002144240 is a wasteful number, since it uses less digits than its factorization.

10424002144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329027 (or 329021 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10424002144240 its reverse (4244120042401), we get a palindrome (14668122186641).

The spelling of 10424002144240 in words is "ten trillion, four hundred twenty-four billion, two million, one hundred forty-four thousand, two hundred forty".