41297460216100 has 405 divisors, whose sum is σ = 101617622304835. Its totient is φ = 14567673612800.

The previous prime is 41297460216049. The next prime is 41297460216127. The reversal of 41297460216100 is 161206479214.

The square root of 41297460216100 is 6426310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21010507373284 + 20286952842816 = 4583722^2 + 4504104^2 .

It is a super-3 number, since 3×41297460216100³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 365464249644 + ... + 365464249756.

Almost surely, 2^{41297460216100} is an apocalyptic number.

41297460216100 is the 6426310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41297460216100

41297460216100 is an abundant number, since it is smaller than the sum of its proper divisors (60320162088735).

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

41297460216100 is an equidigital number, since it uses as much as digits as its factorization.

41297460216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 41297460216100 in words is "forty-one trillion, two hundred ninety-seven billion, four hundred sixty million, two hundred sixteen thousand, one hundred".