41561415210 has 256 divisors, whose sum is σ = 125144580096. Its totient is φ = 8617771008.

The previous prime is 41561415209. The next prime is 41561415229. The reversal of 41561415210 is 1251416514.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 11240082 + ... + 11243778.

It is an arithmetic number, because the mean of its divisors is an integer number (488846016).

Almost surely, 2^41561415210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41561415210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62572290048).

41561415210 is an abundant number, since it is smaller than the sum of its proper divisors (83583164886).

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

41561415210 is a wasteful number, since it uses less digits than its factorization.

41561415210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 41561415210 in words is "forty-one billion, five hundred sixty-one million, four hundred fifteen thousand, two hundred ten".