41412400 has 60 divisors (see below), whose sum is σ = 104749000. Its totient is φ = 15690240.

The previous prime is 41412379. The next prime is 41412407. The reversal of 41412400 is 421414.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41412407) 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, 4876 + ... + 10324.

Almost surely, 2^41412400 is an apocalyptic number.

41412400 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 41412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52374500).

41412400 is an abundant number, since it is smaller than the sum of its proper divisors (63336600).

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

41412400 is a wasteful number, since it uses less digits than its factorization.

41412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 41412400 is about 6435.2466930181. The cubic root of 41412400 is about 345.9740031923.

Adding to 41412400 its reverse (421414), we get a palindrome (41833814).

The spelling of 41412400 in words is "forty-one million, four hundred twelve thousand, four hundred".