1338690240 has 140 divisors (see below), whose sum is σ = 4762048896. Its totient is φ = 356977152.

The previous prime is 1338690209. The next prime is 1338690247. The reversal of 1338690240 is 420968331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1338690195 and 1338690204.

It is not an unprimeable number, because it can be changed into a prime (1338690247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97 + ... + 51743.

Almost surely, 2^1338690240 is an apocalyptic number.

1338690240 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 1338690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381024448).

1338690240 is an abundant number, since it is smaller than the sum of its proper divisors (3423358656).

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

1338690240 is an equidigital number, since it uses as much as digits as its factorization.

1338690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51676 (or 51657 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1338690240 is about 36588.1161034563. The cubic root of 1338690240 is about 1102.1144563339.

The spelling of 1338690240 in words is "one billion, three hundred thirty-eight million, six hundred ninety thousand, two hundred forty".