4995461652480 has 1568 divisors, whose sum is σ = 20522704409424. Its totient is φ = 1155790798848.

The previous prime is 4995461652449. The next prime is 4995461652523. The reversal of 4995461652480 is 842561645994.

4995461652480 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 4 + 616 + 5 + 2 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2203300859904 + 2792160792576 = 1484352^2 + 1670976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6599024262 + ... + 6599025018.

Almost surely, 2^{4995461652480} is an apocalyptic number.

4995461652480 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 4995461652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261352204712).

4995461652480 is an abundant number, since it is smaller than the sum of its proper divisors (15527242756944).

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

4995461652480 is an equidigital number, since it uses as much as digits as its factorization.

4995461652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 4995461652480 in words is "four trillion, nine hundred ninety-five billion, four hundred sixty-one million, six hundred fifty-two thousand, four hundred eighty".