1013840810064 has 320 divisors, whose sum is σ = 3008378880000. Its totient is φ = 326746607616.

The previous prime is 1013840810041. The next prime is 1013840810069. The reversal of 1013840810064 is 4600180483101.

It is a happy number.

1013840810064 is a `hidden beast` number, since 10 + 138 + 408 + 100 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013840810069) 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, 792681777 + ... + 792683055.

It is an arithmetic number, because the mean of its divisors is an integer number (9401184000).

Almost surely, 2^{1013840810064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013840810064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504189440000).

1013840810064 is an abundant number, since it is smaller than the sum of its proper divisors (1994538069936).

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

1013840810064 is a wasteful number, since it uses less digits than its factorization.

1013840810064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1013840810064 in words is "one trillion, thirteen billion, eight hundred forty million, eight hundred ten thousand, sixty-four".