41078880 has 192 divisors, whose sum is σ = 148236480. Its totient is φ = 10616832.

The previous prime is 41078879. The next prime is 41078881. The reversal of 41078880 is 8887014.

It is an interprime number because it is at equal distance from previous prime (41078879) and next prime (41078881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41078881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159712 + ... + 159968.

It is an arithmetic number, because the mean of its divisors is an integer number (772065).

Almost surely, 2^41078880 is an apocalyptic number.

41078880 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 41078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74118240).

41078880 is an abundant number, since it is smaller than the sum of its proper divisors (107157600).

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

41078880 is a wasteful number, since it uses less digits than its factorization.

41078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 41078880 is about 6409.2807708822. The cubic root of 41078880 is about 345.0427168279.

The spelling of 41078880 in words is "forty-one million, seventy-eight thousand, eight hundred eighty".