41381640 has 96 divisors (see below), whose sum is σ = 136468800. Its totient is φ = 10872960.

The previous prime is 41381633. The next prime is 41381653. The reversal of 41381640 is 4618314.

41381640 is a `hidden beast` number, since 4 + 13 + 8 + 1 + 640 = 666.

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, 24751 + ... + 26369.

It is an arithmetic number, because the mean of its divisors is an integer number (1421550).

Almost surely, 2^41381640 is an apocalyptic number.

41381640 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 41381640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68234400).

41381640 is an abundant number, since it is smaller than the sum of its proper divisors (95087160).

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

41381640 is a wasteful number, since it uses less digits than its factorization.

41381640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41381640 is about 6432.8562862853. The cubic root of 41381640 is about 345.8883219605. Note that the first 3 decimals are identical.

Adding to 41381640 its reverse (4618314), we get a palindrome (45999954).

It can be divided in two parts, 4138 and 1640, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 41381640 in words is "forty-one million, three hundred eighty-one thousand, six hundred forty".