41251680 has 144 divisors (see below), whose sum is σ = 146122704. Its totient is φ = 10990080.

The previous prime is 41251657. The next prime is 41251681. The reversal of 41251680 is 8615214.

41251680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41251680² = 3403402205644800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41251681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38350 + ... + 39410.

It is an arithmetic number, because the mean of its divisors is an integer number (1014741).

Almost surely, 2^41251680 is an apocalyptic number.

41251680 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 41251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73061352).

41251680 is an abundant number, since it is smaller than the sum of its proper divisors (104871024).

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

41251680 is a wasteful number, since it uses less digits than its factorization.

41251680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 41251680 is about 6422.7470758236. The cubic root of 41251680 is about 345.5258521484.

Adding to 41251680 its reverse (8615214), we get a palindrome (49866894).

The spelling of 41251680 in words is "forty-one million, two hundred fifty-one thousand, six hundred eighty".