41618640 has 120 divisors (see below), whose sum is σ = 150124320. Its totient is φ = 9510144.

The previous prime is 41618639. The next prime is 41618651. The reversal of 41618640 is 4681614.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×41618640² = 3464222390899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41618598 and 41618607.

It is a congruent number.

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, 9991 + ... + 13529.

It is an arithmetic number, because the mean of its divisors is an integer number (1251036).

Almost surely, 2^41618640 is an apocalyptic number.

41618640 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 41618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062160).

41618640 is an abundant number, since it is smaller than the sum of its proper divisors (108505680).

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

41618640 is a wasteful number, since it uses less digits than its factorization.

41618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41618640 is about 6451.2510414647. The cubic root of 41618640 is about 346.5473866424.

The spelling of 41618640 in words is "forty-one million, six hundred eighteen thousand, six hundred forty".