4197935652480 has 1152 divisors, whose sum is σ = 15610817664000. Its totient is φ = 1078788243456.

The previous prime is 4197935652479. The next prime is 4197935652553. The reversal of 4197935652480 is 842565397914.

4197935652480 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 93 + 5 + 65 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17564584201 + ... + 17564584439.

It is an arithmetic number, because the mean of its divisors is an integer number (13551057000).

It is a 1-persistent number, because it is pandigital, but 2⋅4197935652480 = 8395871304960 is not.

Almost surely, 2^{4197935652480} is an apocalyptic number.

4197935652480 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 4197935652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805408832000).

4197935652480 is an abundant number, since it is smaller than the sum of its proper divisors (11412882011520).

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

4197935652480 is an frugal number, since it uses more digits than its factorization.

4197935652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 4197935652480 in words is "four trillion, one hundred ninety-seven billion, nine hundred thirty-five million, six hundred fifty-two thousand, four hundred eighty".