1338109440 has 320 divisors, whose sum is σ = 4668611904. Its totient is φ = 325582848.

The previous prime is 1338109429. The next prime is 1338109441. The reversal of 1338109440 is 449018331.

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

It is a super-2 number, since 2×1338109440² = 3581073746834227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338109441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4830582 + ... + 4830858.

Almost surely, 2^1338109440 is an apocalyptic number.

1338109440 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 1338109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334305952).

1338109440 is an abundant number, since it is smaller than the sum of its proper divisors (3330502464).

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

1338109440 is a wasteful number, since it uses less digits than its factorization.

1338109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1338109440 is about 36580.1782390409. The cubic root of 1338109440 is about 1101.9550466235.

The spelling of 1338109440 in words is "one billion, three hundred thirty-eight million, one hundred nine thousand, four hundred forty".