1338119640 has 576 divisors, whose sum is σ = 5489920800. Its totient is φ = 279797760.

The previous prime is 1338119639. The next prime is 1338119641. The reversal of 1338119640 is 469118331.

1338119640 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 1 + 1 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1338119639) and next prime (1338119641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1338119595 and 1338119604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338119641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9626691 + ... + 9626829.

Almost surely, 2^1338119640 is an apocalyptic number.

1338119640 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 1338119640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744960400).

1338119640 is an abundant number, since it is smaller than the sum of its proper divisors (4151801160).

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

1338119640 is a wasteful number, since it uses less digits than its factorization.

1338119640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1338119640 is about 36580.3176585442. The cubic root of 1338119640 is about 1101.9578465721.

The spelling of 1338119640 in words is "one billion, three hundred thirty-eight million, one hundred nineteen thousand, six hundred forty".