4517116021000 has 256 divisors, whose sum is σ = 11664646755840. Its totient is φ = 1623600000000.

The previous prime is 4517116020983. The next prime is 4517116021003. The reversal of 4517116021000 is 1206117154.

It is a self number, because there is not a number n which added to its sum of digits gives 4517116021000.

It is not an unprimeable number, because it can be changed into a prime (4517116021003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734367925 + ... + 734374075.

It is an arithmetic number, because the mean of its divisors is an integer number (45565026390).

Almost surely, 2^{4517116021000} is an apocalyptic number.

4517116021000 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 4517116021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832323377920).

4517116021000 is an abundant number, since it is smaller than the sum of its proper divisors (7147530734840).

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

4517116021000 is a wasteful number, since it uses less digits than its factorization.

4517116021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 4517116021000 in words is "four trillion, five hundred seventeen billion, one hundred sixteen million, twenty-one thousand".