4814938813320 has 512 divisors, whose sum is σ = 17302222080000. Its totient is φ = 1187100085248.

The previous prime is 4814938813303. The next prime is 4814938813417. The reversal of 4814938813320 is 233188394184.

It is a happy number.

4814938813320 is a `hidden beast` number, since 48 + 1 + 493 + 8 + 81 + 3 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2058544711 + ... + 2058547049.

It is an arithmetic number, because the mean of its divisors is an integer number (33793402500).

Almost surely, 2^{4814938813320} is an apocalyptic number.

4814938813320 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 4814938813320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651111040000).

4814938813320 is an abundant number, since it is smaller than the sum of its proper divisors (12487283266680).

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

4814938813320 is a wasteful number, since it uses less digits than its factorization.

4814938813320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4814938813320 in words is "four trillion, eight hundred fourteen billion, nine hundred thirty-eight million, eight hundred thirteen thousand, three hundred twenty".