1338553120 has 24 divisors (see below), whose sum is σ = 3162332124. Its totient is φ = 535421184.

The previous prime is 1338553093. The next prime is 1338553121. The reversal of 1338553120 is 213558331.

It can be written as a sum of positive squares in 2 ways, for example, as 1292258704 + 46294416 = 35948^2 + 6804^2 .

It is not an unprimeable number, because it can be changed into a prime (1338553121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4182819 + ... + 4183138.

Almost surely, 2^1338553120 is an apocalyptic number.

1338553120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338553120 is an abundant number, since it is smaller than the sum of its proper divisors (1823779004).

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

1338553120 is an equidigital number, since it uses as much as digits as its factorization.

1338553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365972 (or 8365964 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1338553120 is about 36586.2422229996. The cubic root of 1338553120 is about 1102.0768257480.

The spelling of 1338553120 in words is "one billion, three hundred thirty-eight million, five hundred fifty-three thousand, one hundred twenty".