10144342040 has 128 divisors (see below), whose sum is σ = 27436216320. Its totient is φ = 3302208000.

The previous prime is 10144342031. The next prime is 10144342063. The reversal of 10144342040 is 4024344101.

It is a happy number.

It is a super-2 number, since 2×10144342040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144341997 and 10144342015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449015 + ... + 471065.

It is an arithmetic number, because the mean of its divisors is an integer number (214345440).

Almost surely, 2^10144342040 is an apocalyptic number.

10144342040 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 10144342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718108160).

10144342040 is an abundant number, since it is smaller than the sum of its proper divisors (17291874280).

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

10144342040 is a wasteful number, since it uses less digits than its factorization.

10144342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22153 (or 22149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10144342040 its reverse (4024344101), we get a palindrome (14168686141).

The spelling of 10144342040 in words is "ten billion, one hundred forty-four million, three hundred forty-two thousand, forty".