41072640 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 9338880.

The previous prime is 41072621. The next prime is 41072651. The reversal of 41072640 is 4627014.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-5 number, since 5×41072640⁵ (a number of 39 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41072640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214945 + ... + 215135.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^41072640 is an apocalyptic number.

41072640 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 41072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

41072640 is an abundant number, since it is smaller than the sum of its proper divisors (109885440).

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

41072640 is a wasteful number, since it uses less digits than its factorization.

41072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 41072640 is about 6408.7939583045. The cubic root of 41072640 is about 345.0252449496.

Adding to 41072640 its reverse (4627014), we get a palindrome (45699654).

The spelling of 41072640 in words is "forty-one million, seventy-two thousand, six hundred forty".