4556241684480 has 384 divisors, whose sum is σ = 15492764851200. Its totient is φ = 1139860242432.

The previous prime is 4556241684473. The next prime is 4556241684493. The reversal of 4556241684480 is 844861426554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4556241684480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60081147 + ... + 60156933.

It is an arithmetic number, because the mean of its divisors is an integer number (40345741800).

Almost surely, 2^{4556241684480} is an apocalyptic number.

4556241684480 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 4556241684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7746382425600).

4556241684480 is an abundant number, since it is smaller than the sum of its proper divisors (10936523166720).

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

4556241684480 is a wasteful number, since it uses less digits than its factorization.

4556241684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75939 (or 75919 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 4556241684480 in words is "four trillion, five hundred fifty-six billion, two hundred forty-one million, six hundred eighty-four thousand, four hundred eighty".