41878800 has 90 divisors (see below), whose sum is σ = 145343562. Its totient is φ = 11166720.

The previous prime is 41878787. The next prime is 41878829. The reversal of 41878800 is 887814.

It can be written as a sum of positive squares in 3 ways, for example, as 4717584 + 37161216 = 2172^2 + 6096^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2217 + ... + 9416.

Almost surely, 2^41878800 is an apocalyptic number.

41878800 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 41878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72671781).

41878800 is an abundant number, since it is smaller than the sum of its proper divisors (103464762).

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

41878800 is a wasteful number, since it uses less digits than its factorization.

41878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11657 (or 11643 counting only the distinct ones).

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

The square root of 41878800 is about 6471.3831597271. The cubic root of 41878800 is about 347.2679816907.

The spelling of 41878800 in words is "forty-one million, eight hundred seventy-eight thousand, eight hundred".