1338252440 has 64 divisors (see below), whose sum is σ = 3464424000. Its totient is φ = 455735808.

The previous prime is 1338252437. The next prime is 1338252469. The reversal of 1338252440 is 442528331.

It is a junction number, because it is equal to n+sod(n) for n = 1338252397 and 1338252406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25682 + ... + 57758.

It is an arithmetic number, because the mean of its divisors is an integer number (54131625).

Almost surely, 2^1338252440 is an apocalyptic number.

1338252440 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 1338252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732212000).

1338252440 is an abundant number, since it is smaller than the sum of its proper divisors (2126171560).

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

1338252440 is a wasteful number, since it uses less digits than its factorization.

1338252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32244 (or 32240 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 1338252440 is about 36582.1327973097. The cubic root of 1338252440 is about 1101.9942995062.

The spelling of 1338252440 in words is "one billion, three hundred thirty-eight million, two hundred fifty-two thousand, four hundred forty".