1381830569640 has 192 divisors, whose sum is σ = 4546397419200. Its totient is φ = 363941200896.

The previous prime is 1381830569633. The next prime is 1381830569653. The reversal of 1381830569640 is 469650381831.

1381830569640 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 30 + 569 + 6 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189106867 + ... + 189114173.

It is an arithmetic number, because the mean of its divisors is an integer number (23679153225).

Almost surely, 2^{1381830569640} is an apocalyptic number.

1381830569640 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 1381830569640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273198709600).

1381830569640 is an abundant number, since it is smaller than the sum of its proper divisors (3164566849560).

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

1381830569640 is a wasteful number, since it uses less digits than its factorization.

1381830569640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1381830569640 in words is "one trillion, three hundred eighty-one billion, eight hundred thirty million, five hundred sixty-nine thousand, six hundred forty".