1338327040 has 180 divisors, whose sum is σ = 3514064148. Its totient is φ = 487587840.

The previous prime is 1338327019. The next prime is 1338327049. The reversal of 1338327040 is 407238331.

It can be written as a sum of positive squares in 2 ways, for example, as 771506176 + 566820864 = 27776^2 + 23808^2 .

It is a super-2 number, since 2×1338327040² = 3582238531990323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1338326993 and 1338327011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338327049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43171825 + ... + 43171855.

Almost surely, 2^1338327040 is an apocalyptic number.

1338327040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757032074).

1338327040 is an abundant number, since it is smaller than the sum of its proper divisors (2175737108).

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

1338327040 is an frugal number, since it uses more digits than its factorization.

1338327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1338327040 is about 36583.1524065382. The cubic root of 1338327040 is about 1102.0147757743.

The spelling of 1338327040 in words is "one billion, three hundred thirty-eight million, three hundred twenty-seven thousand, forty".