13054046007040 has 144 divisors (see below), whose sum is σ = 32129600025600. Its totient is φ = 5078840610816.

The previous prime is 13054046007017. The next prime is 13054046007049. The reversal of 13054046007040 is 4070064045031.

It is a junction number, because it is equal to n+sod(n) for n = 13054046006987 and 13054046007005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054046007049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12658381 + ... + 13650739.

It is an arithmetic number, because the mean of its divisors is an integer number (223122222400).

Almost surely, 2^{13054046007040} is an apocalyptic number.

13054046007040 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 13054046007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064800012800).

13054046007040 is an abundant number, since it is smaller than the sum of its proper divisors (19075554018560).

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

13054046007040 is an equidigital number, since it uses as much as digits as its factorization.

13054046007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992662 (or 992648 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 13054046007040 in words is "thirteen trillion, fifty-four billion, forty-six million, seven thousand, forty".