1349362010304 has 1792 divisors, whose sum is σ = 5348406067200. Its totient is φ = 323481600000.

The previous prime is 1349362010261. The next prime is 1349362010357. The reversal of 1349362010304 is 4030102639431.

1349362010304 is a `hidden beast` number, since 1 + 3 + 493 + 62 + 0 + 103 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13360019854 + ... + 13360019954.

It is an arithmetic number, because the mean of its divisors is an integer number (2984601600).

Almost surely, 2^{1349362010304} is an apocalyptic number.

1349362010304 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 1349362010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674203033600).

1349362010304 is an abundant number, since it is smaller than the sum of its proper divisors (3999044056896).

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

1349362010304 is a wasteful number, since it uses less digits than its factorization.

1349362010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 1349362010304 its reverse (4030102639431), we get a palindrome (5379464649735).

The spelling of 1349362010304 in words is "one trillion, three hundred forty-nine billion, three hundred sixty-two million, ten thousand, three hundred four".