41193407136 has 144 divisors (see below), whose sum is σ = 127013334336. Its totient is φ = 11451193344.

The previous prime is 41193407117. The next prime is 41193407153. The reversal of 41193407136 is 63170439114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41193407094 and 41193407103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897580 + ... + 942356.

It is an arithmetic number, because the mean of its divisors is an integer number (882037044).

Almost surely, 2^41193407136 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 41193407136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63506667168).

41193407136 is an abundant number, since it is smaller than the sum of its proper divisors (85819927200).

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

41193407136 is a wasteful number, since it uses less digits than its factorization.

41193407136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44871 (or 44826 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 41193407136 in words is "forty-one billion, one hundred ninety-three million, four hundred seven thousand, one hundred thirty-six".