4513219476480 has 2112 divisors, whose sum is σ = 19431653649408. Its totient is φ = 952966840320.

The previous prime is 4513219476473. The next prime is 4513219476517. The reversal of 4513219476480 is 846749123154.

4513219476480 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 2 + 1 + 94 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14701040487 + ... + 14701040793.

It is an arithmetic number, because the mean of its divisors is an integer number (9200593584).

It is a 1-persistent number, because it is pandigital, but 2⋅4513219476480 = 9026438952960 is not.

Almost surely, 2^{4513219476480} is an apocalyptic number.

4513219476480 is a gapful number since it is divisible by the number (40) 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 4513219476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9715826824704).

4513219476480 is an abundant number, since it is smaller than the sum of its proper divisors (14918434172928).

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

4513219476480 is a wasteful number, since it uses less digits than its factorization.

4513219476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4513219476480 in words is "four trillion, five hundred thirteen billion, two hundred nineteen million, four hundred seventy-six thousand, four hundred eighty".