4714916705280 has 704 divisors, whose sum is σ = 17087700960000. Its totient is φ = 1232561111040.

The previous prime is 4714916705263. The next prime is 4714916705281. The reversal of 4714916705280 is 825076194174.

4714916705280 is a `hidden beast` number, since 4 + 7 + 1 + 49 + 1 + 6 + 70 + 528 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4714916705281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3145373971 + ... + 3145375469.

It is an arithmetic number, because the mean of its divisors is an integer number (24272302500).

Almost surely, 2^{4714916705280} is an apocalyptic number.

4714916705280 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 4714916705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8543850480000).

4714916705280 is an abundant number, since it is smaller than the sum of its proper divisors (12372784254720).

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

4714916705280 is a wasteful number, since it uses less digits than its factorization.

4714916705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 4714916705280 in words is "four trillion, seven hundred fourteen billion, nine hundred sixteen million, seven hundred five thousand, two hundred eighty".