8138080419840 has 768 divisors, whose sum is σ = 33437093639040. Its totient is φ = 1860068966400.

The previous prime is 8138080419829. The next prime is 8138080419841. The reversal of 8138080419840 is 489140808318.

8138080419840 is a `hidden beast` number, since 81 + 38 + 0 + 80 + 419 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8138080419841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278677240 + ... + 278706440.

Almost surely, 2^{8138080419840} is an apocalyptic number.

8138080419840 is a gapful number since it is divisible by the number (80) 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 8138080419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718546819520).

8138080419840 is an abundant number, since it is smaller than the sum of its proper divisors (25299013219200).

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

8138080419840 is an frugal number, since it uses more digits than its factorization.

8138080419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29258 (or 29218 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 8138080419840 in words is "eight trillion, one hundred thirty-eight billion, eighty million, four hundred nineteen thousand, eight hundred forty".