13420949667840 has 2520 divisors, whose sum is σ = 60182630112528. Its totient is φ = 2826625351680.

The previous prime is 13420949667817. The next prime is 13420949667847. The reversal of 13420949667840 is 4876694902431.

It is a happy number.

13420949667840 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 9 + 496 + 67 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420949667847) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 789467627512 + ... + 789467627528.

Almost surely, 2^{13420949667840} is an apocalyptic number.

13420949667840 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 13420949667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30091315056264).

13420949667840 is an abundant number, since it is smaller than the sum of its proper divisors (46761680444688).

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

13420949667840 is an frugal number, since it uses more digits than its factorization.

13420949667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 13420949667840 in words is "thirteen trillion, four hundred twenty billion, nine hundred forty-nine million, six hundred sixty-seven thousand, eight hundred forty".