41878400 has 96 divisors (see below), whose sum is σ = 108140400. Its totient is φ = 15994880.

The previous prime is 41878399. The next prime is 41878411. The reversal of 41878400 is 487814.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 73316 + ... + 73884.

Almost surely, 2^41878400 is an apocalyptic number.

41878400 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 41878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54070200).

41878400 is an abundant number, since it is smaller than the sum of its proper divisors (66262000).

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

41878400 is a wasteful number, since it uses less digits than its factorization.

41878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 41878400 is about 6471.3522543592. The cubic root of 41878400 is about 347.2668760586.

The spelling of 41878400 in words is "forty-one million, eight hundred seventy-eight thousand, four hundred".