1306340038224 has 120 divisors (see below), whose sum is σ = 3937869647712. Its totient is φ = 401878713600.

The previous prime is 1306340038193. The next prime is 1306340038249. The reversal of 1306340038224 is 4228300436031.

1306340038224 is a `hidden beast` number, since 1 + 306 + 340 + 0 + 3 + 8 + 2 + 2 + 4 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 10893439 + ... + 11012705.

Almost surely, 2^{1306340038224} is an apocalyptic number.

It is an amenable number.

1306340038224 is an abundant number, since it is smaller than the sum of its proper divisors (2631529609488).

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

1306340038224 is a wasteful number, since it uses less digits than its factorization.

1306340038224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125145 (or 125136 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1306340038224 in words is "one trillion, three hundred six billion, three hundred forty million, thirty-eight thousand, two hundred twenty-four".