41430400 has 144 divisors (see below), whose sum is σ = 113547420. Its totient is φ = 14924800.

The previous prime is 41430397. The next prime is 41430401. The reversal of 41430400 is 403414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387147 + ... + 387253.

Almost surely, 2^41430400 is an apocalyptic number.

41430400 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 41430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56773710).

41430400 is an abundant number, since it is smaller than the sum of its proper divisors (72117020).

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

41430400 is a wasteful number, since it uses less digits than its factorization.

41430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 41430400 is about 6436.6450888642. The cubic root of 41430400 is about 346.0241220778.

Adding to 41430400 its reverse (403414), we get a palindrome (41833814).

The spelling of 41430400 in words is "forty-one million, four hundred thirty thousand, four hundred".