41101470900 has 1152 divisors, whose sum is σ = 167989248000. Its totient is φ = 8418816000.

The previous prime is 41101470889. The next prime is 41101470913. The reversal of 41101470900 is 907410114.

41101470900 is a `hidden beast` number, since 4 + 1 + 101 + 470 + 90 + 0 = 666.

41101470900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 696635071 + ... + 696635129.

It is an arithmetic number, because the mean of its divisors is an integer number (145824000).

Almost surely, 2^41101470900 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 41101470900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624000).

41101470900 is an abundant number, since it is smaller than the sum of its proper divisors (126887777100).

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

41101470900 is a wasteful number, since it uses less digits than its factorization.

41101470900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 41101470900 in words is "forty-one billion, one hundred one million, four hundred seventy thousand, nine hundred".