41253672100 has 81 divisors (see below), whose sum is σ = 94568515587. Its totient is φ = 15618346560.

The previous prime is 41253672071. The next prime is 41253672191. The reversal of 41253672100 is 127635214.

The square root of 41253672100 is 203110.

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 1240871076 + 40012801024 = 35226^2 + 200032^2 .

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, 38590366 + ... + 38591434.

Almost surely, 2^41253672100 is an apocalyptic number.

41253672100 is the 203110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41253672100

41253672100 is an abundant number, since it is smaller than the sum of its proper divisors (53314843487).

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

41253672100 is a wasteful number, since it uses less digits than its factorization.

41253672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 41253672100 in words is "forty-one billion, two hundred fifty-three million, six hundred seventy-two thousand, one hundred".