41100768 has 36 divisors (see below), whose sum is σ = 116881128. Its totient is φ = 13700160.

The previous prime is 41100767. The next prime is 41100769. The reversal of 41100768 is 86700114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41100767) and next prime (41100769).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41100767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71068 + ... + 71643.

It is an arithmetic number, because the mean of its divisors is an integer number (3246698).

Almost surely, 2^41100768 is an apocalyptic number.

41100768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41100768 is an abundant number, since it is smaller than the sum of its proper divisors (75780360).

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

41100768 is a wasteful number, since it uses less digits than its factorization.

41100768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142727 (or 142716 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 41100768 is about 6410.9880673731. The cubic root of 41100768 is about 345.1039888167.

The spelling of 41100768 in words is "forty-one million, one hundred thousand, seven hundred sixty-eight".