1001342144 has 112 divisors (see below), whose sum is σ = 2259518976. Its totient is φ = 436300800.

The previous prime is 1001342119. The next prime is 1001342149. The reversal of 1001342144 is 4412431001.

1001342144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001342149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753379 + ... + 1753949.

Almost surely, 2^1001342144 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 1001342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129759488).

1001342144 is an abundant number, since it is smaller than the sum of its proper divisors (1258176832).

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

1001342144 is a wasteful number, since it uses less digits than its factorization.

1001342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1001342144 is about 31643.9906459347. The cubic root of 1001342144 is about 1000.4471813324.

Adding to 1001342144 its reverse (4412431001), we get a palindrome (5413773145).

The spelling of 1001342144 in words is "one billion, one million, three hundred forty-two thousand, one hundred forty-four".