41556168900 has 216 divisors, whose sum is σ = 134767181640. Its totient is φ = 10702264320.

The previous prime is 41556168893. The next prime is 41556168911. The reversal of 41556168900 is 986165514.

41556168900 is a `hidden beast` number, since 4 + 1 + 5 + 561 + 6 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9017781444 + 32538387456 = 94962^2 + 180384^2 .

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 71 ways as a sum of consecutive naturals, for example, 4557546 + ... + 4566654.

Almost surely, 2^41556168900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41556168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67383590820).

41556168900 is an abundant number, since it is smaller than the sum of its proper divisors (93211012740).

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

41556168900 is a wasteful number, since it uses less digits than its factorization.

41556168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 41556168900 in words is "forty-one billion, five hundred fifty-six million, one hundred sixty-eight thousand, nine hundred".