4416660454752 has 1728 divisors, whose sum is σ = 17505004608000. Its totient is φ = 1042000920576.

The previous prime is 4416660454751. The next prime is 4416660454753. The reversal of 4416660454752 is 2574540666144.

It is an interprime number because it is at equal distance from previous prime (4416660454751) and next prime (4416660454753).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416660454751) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7135153899 + ... + 7135154517.

It is an arithmetic number, because the mean of its divisors is an integer number (10130211000).

Almost surely, 2^{4416660454752} is an apocalyptic number.

4416660454752 is a gapful number since it is divisible by the number (42) 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 4416660454752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752502304000).

4416660454752 is an abundant number, since it is smaller than the sum of its proper divisors (13088344153248).

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

4416660454752 is a wasteful number, since it uses less digits than its factorization.

4416660454752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 4416660454752 in words is "four trillion, four hundred sixteen billion, six hundred sixty million, four hundred fifty-four thousand, seven hundred fifty-two".