4716122434560 has 1760 divisors, whose sum is σ = 18832137984000. Its totient is φ = 1123685498880.

The previous prime is 4716122434559. The next prime is 4716122434577. The reversal of 4716122434560 is 654342216174.

4716122434560 is a `hidden beast` number, since 4 + 7 + 1 + 61 + 2 + 24 + 3 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10503613216 + ... + 10503613664.

It is an arithmetic number, because the mean of its divisors is an integer number (10700078400).

Almost surely, 2^{4716122434560} is an apocalyptic number.

4716122434560 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 4716122434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9416068992000).

4716122434560 is an abundant number, since it is smaller than the sum of its proper divisors (14116015549440).

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

4716122434560 is a wasteful number, since it uses less digits than its factorization.

4716122434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4716122434560 in words is "four trillion, seven hundred sixteen billion, one hundred twenty-two million, four hundred thirty-four thousand, five hundred sixty".