1338381407 has 16 divisors (see below), whose sum is σ = 1545540480. Its totient is φ = 1147423200.

The previous prime is 1338381329. The next prime is 1338381437. The reversal of 1338381407 is 7041838331.

It is not a de Polignac number, because 1338381407 - 2²⁶ = 1271272543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338381437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35069 + ... + 62502.

It is an arithmetic number, because the mean of its divisors is an integer number (96596280).

Almost surely, 2^1338381407 is an apocalyptic number.

1338381407 is a deficient number, since it is larger than the sum of its proper divisors (207159073).

1338381407 is a wasteful number, since it uses less digits than its factorization.

1338381407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97654.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1338381407 is about 36583.8954596145. The cubic root of 1338381407 is about 1102.0296979929.

The spelling of 1338381407 in words is "one billion, three hundred thirty-eight million, three hundred eighty-one thousand, four hundred seven".