41516748 has 288 divisors, whose sum is σ = 146764800. Its totient is φ = 9580032.

The previous prime is 41516743. The next prime is 41516759. The reversal of 41516748 is 84761514.

It is a happy number.

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

Its product of digits (26880) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (41516743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431598 + ... + 1431626.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 2^41516748 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 41516748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

41516748 is an abundant number, since it is smaller than the sum of its proper divisors (105248052).

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

41516748 is a wasteful number, since it uses less digits than its factorization.

41516748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 41516748 is about 6443.3491291408. The cubic root of 41516748 is about 346.2643463061.

The spelling of 41516748 in words is "forty-one million, five hundred sixteen thousand, seven hundred forty-eight".