41082400 has 72 divisors (see below), whose sum is σ = 101595060. Its totient is φ = 16220160.

The previous prime is 41082397. The next prime is 41082401. The reversal of 41082400 is 428014.

It can be written as a sum of positive squares in 6 ways, for example, as 22316176 + 18766224 = 4724^2 + 4332^2 .

It is not an unprimeable number, because it can be changed into a prime (41082401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70912 + ... + 71488.

Almost surely, 2^41082400 is an apocalyptic number.

41082400 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 41082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50797530).

41082400 is an abundant number, since it is smaller than the sum of its proper divisors (60512660).

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

41082400 is a wasteful number, since it uses less digits than its factorization.

41082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

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

The square root of 41082400 is about 6409.5553667942. Note that the first 3 decimals coincide. The cubic root of 41082400 is about 345.0525719787.

The spelling of 41082400 in words is "forty-one million, eighty-two thousand, four hundred".