41280400 has 120 divisors (see below), whose sum is σ = 118456704. Its totient is φ = 13516800.

The previous prime is 41280391. The next prime is 41280401. The reversal of 41280400 is 408214.

41280400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41280401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64080 + ... + 64720.

Almost surely, 2^41280400 is an apocalyptic number.

41280400 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 41280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59228352).

41280400 is an abundant number, since it is smaller than the sum of its proper divisors (77176304).

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

41280400 is a wasteful number, since it uses less digits than its factorization.

41280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 41280400 is about 6424.9824902485. The cubic root of 41280400 is about 345.6060201998.

Adding to 41280400 its reverse (408214), we get a palindrome (41688614).

It can be divided in two parts, 4 and 1280400, that multiplied together give a triangular number (5121600 = T₃₂₀₀).

The spelling of 41280400 in words is "forty-one million, two hundred eighty thousand, four hundred".