1838879781440 has 448 divisors, whose sum is σ = 4918364478720. Its totient is φ = 650528686080.

The previous prime is 1838879781413. The next prime is 1838879781443. The reversal of 1838879781440 is 441879788381.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1838879781443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2273027756 + ... + 2273028564.

It is an arithmetic number, because the mean of its divisors is an integer number (10978492140).

Almost surely, 2^{1838879781440} is an apocalyptic number.

1838879781440 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 1838879781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459182239360).

1838879781440 is an abundant number, since it is smaller than the sum of its proper divisors (3079484697280).

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

1838879781440 is a wasteful number, since it uses less digits than its factorization.

1838879781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 68.

The spelling of 1838879781440 in words is "one trillion, eight hundred thirty-eight billion, eight hundred seventy-nine million, seven hundred eighty-one thousand, four hundred forty".