1006314241340 has 24 divisors (see below), whose sum is σ = 2134183276512. Its totient is φ = 398540292800.

The previous prime is 1006314241337. The next prime is 1006314241367. The reversal of 1006314241340 is 431424136001.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 249085664 + ... + 249089703.

It is an arithmetic number, because the mean of its divisors is an integer number (88924303188).

Almost surely, 2^{1006314241340} is an apocalyptic number.

1006314241340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006314241340 is an abundant number, since it is smaller than the sum of its proper divisors (1127869035172).

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

1006314241340 is a wasteful number, since it uses less digits than its factorization.

1006314241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498175477 (or 498175475 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 1006314241340 its reverse (431424136001), we get a palindrome (1437738377341).

The spelling of 1006314241340 in words is "one trillion, six billion, three hundred fourteen million, two hundred forty-one thousand, three hundred forty".