41409162900 has 288 divisors, whose sum is σ = 152950210560. Its totient is φ = 9414576000.

The previous prime is 41409162863. The next prime is 41409162929. The reversal of 41409162900 is 926190414.

It is a happy number.

41409162900 is a `hidden beast` number, since 4 + 1 + 409 + 162 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3604165 + ... + 3615635.

It is an arithmetic number, because the mean of its divisors is an integer number (531077120).

Almost surely, 2^41409162900 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 41409162900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76475105280).

41409162900 is an abundant number, since it is smaller than the sum of its proper divisors (111541047660).

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

41409162900 is a wasteful number, since it uses less digits than its factorization.

41409162900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11679 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 41409162900 in words is "forty-one billion, four hundred nine million, one hundred sixty-two thousand, nine hundred".