1338042240 has 320 divisors, whose sum is σ = 4878545760. Its totient is φ = 349360128.

The previous prime is 1338042229. The next prime is 1338042269. The reversal of 1338042240 is 422408331.

1338042240 is a `hidden beast` number, since 1 + 3 + 380 + 42 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2747277 + ... + 2747763.

Almost surely, 2^1338042240 is an apocalyptic number.

1338042240 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 1338042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439272880).

1338042240 is an abundant number, since it is smaller than the sum of its proper divisors (3540503520).

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

1338042240 is an equidigital number, since it uses as much as digits as its factorization.

1338042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1338042240 is about 36579.2596972656. The cubic root of 1338042240 is about 1101.9365995477.

The spelling of 1338042240 in words is "one billion, three hundred thirty-eight million, forty-two thousand, two hundred forty".