4814013966720 has 512 divisors, whose sum is σ = 19167346483200. Its totient is φ = 1002211246080.

The previous prime is 4814013966673. The next prime is 4814013966733. The reversal of 4814013966720 is 276693104184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6743046 + ... + 7422714.

It is an arithmetic number, because the mean of its divisors is an integer number (37436223600).

Almost surely, 2^{4814013966720} is an apocalyptic number.

4814013966720 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 4814013966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583673241600).

4814013966720 is an abundant number, since it is smaller than the sum of its proper divisors (14353332516480).

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

4814013966720 is a wasteful number, since it uses less digits than its factorization.

4814013966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679746 (or 679734 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 4814013966720 in words is "four trillion, eight hundred fourteen billion, thirteen million, nine hundred sixty-six thousand, seven hundred twenty".