13412841954840 has 192 divisors, whose sum is σ = 44363419027200. Its totient is φ = 3513921843456.

The previous prime is 13412841954839. The next prime is 13412841954871. The reversal of 13412841954840 is 4845914821431.

13412841954840 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 84 + 19 + 548 + 4 + 0 = 666.

13412841954840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13412841954840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4094637 + ... + 6602403.

It is an arithmetic number, because the mean of its divisors is an integer number (231059474100).

Almost surely, 2^{13412841954840} is an apocalyptic number.

13412841954840 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 13412841954840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22181709513600).

13412841954840 is an abundant number, since it is smaller than the sum of its proper divisors (30950577072360).

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

13412841954840 is a wasteful number, since it uses less digits than its factorization.

13412841954840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508046 (or 2508039 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 13412841954840 in words is "thirteen trillion, four hundred twelve billion, eight hundred forty-one million, nine hundred fifty-four thousand, eight hundred forty".