41200096 has 48 divisors (see below), whose sum is σ = 93278304. Its totient is φ = 17547264.

The previous prime is 41200091. The next prime is 41200111. The reversal of 41200096 is 69000214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41200091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42756 + ... + 43708.

It is an arithmetic number, because the mean of its divisors is an integer number (1943298).

Almost surely, 2^41200096 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 41200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46639152).

41200096 is an abundant number, since it is smaller than the sum of its proper divisors (52078208).

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

41200096 is a wasteful number, since it uses less digits than its factorization.

41200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 41200096 is about 6418.7300924716. The cubic root of 41200096 is about 345.3817688043.

The spelling of 41200096 in words is "forty-one million, two hundred thousand, ninety-six".