41261796900 has 405 divisors, whose sum is σ = 139757635017. Its totient is φ = 10530259200.

The previous prime is 41261796893. The next prime is 41261796929. The reversal of 41261796900 is 969716214.

The square root of 41261796900 is 203130.

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

41261796900 is a `hidden beast` number, since 412 + 6 + 179 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 31967294436 + 9294502464 = 178794^2 + 96408^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×41261796900² (a number of 22 digits) contains 22 as substring.

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 134 ways as a sum of consecutive naturals, for example, 676422870 + ... + 676422930.

Almost surely, 2^41261796900 is an apocalyptic number.

41261796900 is the 203130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41261796900

41261796900 is an abundant number, since it is smaller than the sum of its proper divisors (98495838117).

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

41261796900 is a wasteful number, since it uses less digits than its factorization.

41261796900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 41261796900 in words is "forty-one billion, two hundred sixty-one million, seven hundred ninety-six thousand, nine hundred".