41171857240900 has 81 divisors (see below), whose sum is σ = 90250477894213. Its totient is φ = 16303119424000.

The previous prime is 41171857240889. The next prime is 41171857241027. The reversal of 41171857240900 is 904275817114.

The square root of 41171857240900 is 6416530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5724027540036 + 35447829700864 = 2392494^2 + 5953808^2 .

It is a Duffinian number.

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, 6480692124 + ... + 6480698476.

Almost surely, 2^{41171857240900} is an apocalyptic number.

41171857240900 is the 6416530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41171857240900

41171857240900 is an abundant number, since it is smaller than the sum of its proper divisors (49078620653313).

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

41171857240900 is an frugal number, since it uses more digits than its factorization.

41171857240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 41171857240900 in words is "forty-one trillion, one hundred seventy-one billion, eight hundred fifty-seven million, two hundred forty thousand, nine hundred".