1002442114332 has 120 divisors (see below), whose sum is σ = 2776667992560. Its totient is φ = 314272396800.

The previous prime is 1002442114279. The next prime is 1002442114351. The reversal of 1002442114332 is 2334112442001.

1002442114332 is a `hidden beast` number, since 10 + 0 + 2 + 4 + 4 + 211 + 433 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1002442114296 and 1002442114305.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7929394 + ... + 8054822.

It is an arithmetic number, because the mean of its divisors is an integer number (23138899938).

Almost surely, 2^{1002442114332} is an apocalyptic number.

1002442114332 is a gapful number since it is divisible by the number (12) 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 1002442114332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388333996280).

1002442114332 is an abundant number, since it is smaller than the sum of its proper divisors (1774225878228).

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

1002442114332 is a wasteful number, since it uses less digits than its factorization.

1002442114332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126913 (or 126902 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1002442114332 its reverse (2334112442001), we get a palindrome (3336554556333).

The spelling of 1002442114332 in words is "one trillion, two billion, four hundred forty-two million, one hundred fourteen thousand, three hundred thirty-two".