1338411360 has 768 divisors, whose sum is σ = 5559902208. Its totient is φ = 265420800.

The previous prime is 1338411353. The next prime is 1338411379. The reversal of 1338411360 is 631148331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36173262 + ... + 36173298.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^1338411360 is an apocalyptic number.

1338411360 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 1338411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779951104).

1338411360 is an abundant number, since it is smaller than the sum of its proper divisors (4221490848).

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

1338411360 is a wasteful number, since it uses less digits than its factorization.

1338411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1338411360 is about 36584.3048314438. The cubic root of 1338411360 is about 1102.0379190798.

Adding to 1338411360 its reverse (631148331), we get a palindrome (1969559691).

The spelling of 1338411360 in words is "one billion, three hundred thirty-eight million, four hundred eleven thousand, three hundred sixty".