41273985600 has 189 divisors, whose sum is σ = 146784190683. Its totient is φ = 10999895040.

The previous prime is 41273985593. The next prime is 41273985617. The reversal of 41273985600 is 658937214.

The square root of 41273985600 is 203160.

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

41273985600 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 39 + 8 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2770127424 + 38503858176 = 52632^2 + 196224^2 .

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 26 ways as a sum of consecutive naturals, for example, 24378354 + ... + 24380046.

It is a 1-persistent number, because it is pandigital, but 2⋅41273985600 = 82547971200 is not.

Almost surely, 2^41273985600 is an apocalyptic number.

41273985600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41273985600 is the 203160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41273985600

41273985600 is an abundant number, since it is smaller than the sum of its proper divisors (105510205083).

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

41273985600 is an equidigital number, since it uses as much as digits as its factorization.

41273985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 41273985600 in words is "forty-one billion, two hundred seventy-three million, nine hundred eighty-five thousand, six hundred".