1338355140 has 48 divisors (see below), whose sum is σ = 3749276160. Its totient is φ = 356715520.

The previous prime is 1338355103. The next prime is 1338355159. The reversal of 1338355140 is 415538331.

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 15 ways as a sum of consecutive naturals, for example, 151156 + ... + 159764.

It is an arithmetic number, because the mean of its divisors is an integer number (78109920).

Almost surely, 2^1338355140 is an apocalyptic number.

1338355140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338355140 is an abundant number, since it is smaller than the sum of its proper divisors (2410921020).

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

1338355140 is a wasteful number, since it uses less digits than its factorization.

1338355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1338355140 is about 36583.5364610913. The cubic root of 1338355140 is about 1102.0224884876.

The spelling of 1338355140 in words is "one billion, three hundred thirty-eight million, three hundred fifty-five thousand, one hundred forty".