1338819440640 has 416 divisors, whose sum is σ = 4739114967552. Its totient is φ = 319979520000.

The previous prime is 1338819440627. The next prime is 1338819440657. The reversal of 1338819440640 is 460449188331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47970690 + ... + 47998590.

Almost surely, 2^{1338819440640} is an apocalyptic number.

1338819440640 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 1338819440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369557483776).

1338819440640 is an abundant number, since it is smaller than the sum of its proper divisors (3400295526912).

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

1338819440640 is a wasteful number, since it uses less digits than its factorization.

1338819440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28015 (or 27993 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 1338819440640 in words is "one trillion, three hundred thirty-eight billion, eight hundred nineteen million, four hundred forty thousand, six hundred forty".