13461104420 has 192 divisors, whose sum is σ = 31741839360. Its totient is φ = 4775500800.

The previous prime is 13461104329. The next prime is 13461104473. The reversal of 13461104420 is 2440116431.

It is a happy number.

It is a super-2 number, since 2×13461104420² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13461104420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47565599 + ... + 47565881.

It is an arithmetic number, because the mean of its divisors is an integer number (165322080).

Almost surely, 2^13461104420 is an apocalyptic number.

13461104420 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 13461104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15870919680).

13461104420 is an abundant number, since it is smaller than the sum of its proper divisors (18280734940).

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

13461104420 is a wasteful number, since it uses less digits than its factorization.

13461104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 13461104420 in words is "thirteen billion, four hundred sixty-one million, one hundred four thousand, four hundred twenty".