1338868440 has 640 divisors, whose sum is σ = 5854464000. Its totient is φ = 266499072.

The previous prime is 1338868429. The next prime is 1338868441. The reversal of 1338868440 is 448688331.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338868441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5601841 + ... + 5602079.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2^1338868440 is an apocalyptic number.

1338868440 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 1338868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232000).

1338868440 is an abundant number, since it is smaller than the sum of its proper divisors (4515595560).

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

1338868440 is a wasteful number, since it uses less digits than its factorization.

1338868440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1338868440 is about 36590.5512393569. The cubic root of 1338868440 is about 1102.1633568877.

The spelling of 1338868440 in words is "one billion, three hundred thirty-eight million, eight hundred sixty-eight thousand, four hundred forty".