1338305440 has 48 divisors (see below), whose sum is σ = 3166921800. Its totient is φ = 534446080.

The previous prime is 1338305431. The next prime is 1338305453. The reversal of 1338305440 is 445038331.

It can be written as a sum of positive squares in 4 ways, for example, as 1288235664 + 50069776 = 35892^2 + 7076^2 .

It is a super-2 number, since 2×1338305440² = 3582122901467187200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96036 + ... + 109084.

Almost surely, 2^1338305440 is an apocalyptic number.

1338305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338305440 is an abundant number, since it is smaller than the sum of its proper divisors (1828616360).

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

1338305440 is a wasteful number, since it uses less digits than its factorization.

1338305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 1338305440 is about 36582.8571874861. The cubic root of 1338305440 is about 1102.0088470672.

The spelling of 1338305440 in words is "one billion, three hundred thirty-eight million, three hundred five thousand, four hundred forty".