41415840 has 96 divisors (see below), whose sum is σ = 144970560. Its totient is φ = 11043072.

The previous prime is 41415811. The next prime is 41415841. The reversal of 41415840 is 4851414.

It is a happy number.

41415840 is a `hidden beast` number, since 41 + 41 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41415841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474 + ... + 9113.

It is an arithmetic number, because the mean of its divisors is an integer number (1510110).

Almost surely, 2^41415840 is an apocalyptic number.

41415840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72485280).

41415840 is an abundant number, since it is smaller than the sum of its proper divisors (103554720).

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

41415840 is a wasteful number, since it uses less digits than its factorization.

41415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 41415840 is about 6435.5139654887. The cubic root of 41415840 is about 345.9835825906.

The spelling of 41415840 in words is "forty-one million, four hundred fifteen thousand, eight hundred forty".