1002142432144 has 160 divisors (see below), whose sum is σ = 2359986451200. Its totient is φ = 402436521984.

The previous prime is 1002142432141. The next prime is 1002142432177. The reversal of 1002142432144 is 4412342412001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1002142432141) 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, 501822954 + ... + 501824950.

It is an arithmetic number, because the mean of its divisors is an integer number (14749915320).

Almost surely, 2^{1002142432144} is an apocalyptic number.

1002142432144 is a gapful number since it is divisible by the number (14) 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 1002142432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179993225600).

1002142432144 is an abundant number, since it is smaller than the sum of its proper divisors (1357844019056).

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

1002142432144 is a wasteful number, since it uses less digits than its factorization.

1002142432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1002142432144 its reverse (4412342412001), we get a palindrome (5414484844145).

The spelling of 1002142432144 in words is "one trillion, two billion, one hundred forty-two million, four hundred thirty-two thousand, one hundred forty-four".