41072880 has 80 divisors (see below), whose sum is σ = 129768480. Its totient is φ = 10742784.

The previous prime is 41072879. The next prime is 41072891. The reversal of 41072880 is 8827014.

41072880 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 (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11106 + ... + 14334.

It is an arithmetic number, because the mean of its divisors is an integer number (1622106).

Almost surely, 2^41072880 is an apocalyptic number.

41072880 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 41072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64884240).

41072880 is an abundant number, since it is smaller than the sum of its proper divisors (88695600).

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

41072880 is a wasteful number, since it uses less digits than its factorization.

41072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 41072880 is about 6408.8126825489. The cubic root of 41072880 is about 345.0259169776.

Adding to 41072880 its reverse (8827014), we get a palindrome (49899894).

The spelling of 41072880 in words is "forty-one million, seventy-two thousand, eight hundred eighty".