41290640 has 40 divisors (see below), whose sum is σ = 96952128. Its totient is φ = 16352640.

The previous prime is 41290633. The next prime is 41290643. The reversal of 41290640 is 4609214.

41290640 = 19² + 20² + ... + 498².

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (41290643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5735 + ... + 10745.

Almost surely, 2^41290640 is an apocalyptic number.

41290640 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 41290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48476064).

41290640 is an abundant number, since it is smaller than the sum of its proper divisors (55661488).

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

41290640 is a wasteful number, since it uses less digits than its factorization.

41290640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 41290640 is about 6425.7793301669. The cubic root of 41290640 is about 345.6345948022.

Adding to 41290640 its reverse (4609214), we get a palindrome (45899854).

The spelling of 41290640 in words is "forty-one million, two hundred ninety thousand, six hundred forty".