13410420480 has 288 divisors, whose sum is σ = 49660369920. Its totient is φ = 3420426240.

The previous prime is 13410420461. The next prime is 13410420481. The reversal of 13410420480 is 8402401431.

13410420480 is a `hidden beast` number, since 134 + 10 + 42 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410420481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786445 + ... + 803315.

It is an arithmetic number, because the mean of its divisors is an integer number (172431840).

Almost surely, 2^13410420480 is an apocalyptic number.

13410420480 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 13410420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830184960).

13410420480 is an abundant number, since it is smaller than the sum of its proper divisors (36249949440).

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

13410420480 is a wasteful number, since it uses less digits than its factorization.

13410420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16924 (or 16904 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 13410420480 in words is "thirteen billion, four hundred ten million, four hundred twenty thousand, four hundred eighty".