4101597057600 has 567 divisors, whose sum is σ = 16965169821561. Its totient is φ = 937119052800.

The previous prime is 4101597057587. The next prime is 4101597057659. The reversal of 4101597057600 is 67507951014.

The square root of 4101597057600 is 2025240.

It is a perfect power (a square), and thus also a powerful number.

4101597057600 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 5 + 9 + 70 + 576 + 0 + 0 = 666.

4101597057600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1476574940736 + 2625022116864 = 1215144^2 + 1620192^2 .

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 80 ways as a sum of consecutive naturals, for example, 1701200395 + ... + 1701202805.

Almost surely, 2^{4101597057600} is an apocalyptic number.

4101597057600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4101597057600 is the 2025240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101597057600

4101597057600 is an abundant number, since it is smaller than the sum of its proper divisors (12863572763961).

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

4101597057600 is an equidigital number, since it uses as much as digits as its factorization.

4101597057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 4101597057600 in words is "four trillion, one hundred one billion, five hundred ninety-seven million, fifty-seven thousand, six hundred".