10144442040 has 64 divisors (see below), whose sum is σ = 30464640000. Its totient is φ = 2702401152.

The previous prime is 10144442039. The next prime is 10144442047. The reversal of 10144442040 is 4024444101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10144442040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144442047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74961 + ... + 160959.

It is an arithmetic number, because the mean of its divisors is an integer number (476010000).

Almost surely, 2^10144442040 is an apocalyptic number.

10144442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144442040 is an abundant number, since it is smaller than the sum of its proper divisors (20320197960).

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

10144442040 is a wasteful number, since it uses less digits than its factorization.

10144442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86996 (or 86992 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10144442040 its reverse (4024444101), we get a palindrome (14168886141).

The spelling of 10144442040 in words is "ten billion, one hundred forty-four million, four hundred forty-two thousand, forty".