41418400 has 72 divisors (see below), whose sum is σ = 105555744. Its totient is φ = 15840000.

The previous prime is 41418397. The next prime is 41418407. The reversal of 41418400 is 481414.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41418407) 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, 17275 + ... + 19525.

It is an arithmetic number, because the mean of its divisors is an integer number (1466052).

Almost surely, 2^41418400 is an apocalyptic number.

41418400 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 41418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52777872).

41418400 is an abundant number, since it is smaller than the sum of its proper divisors (64137344).

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

41418400 is a wasteful number, since it uses less digits than its factorization.

41418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 41418400 is about 6435.7128587282. The cubic root of 41418400 is about 345.9907111008.

Adding to 41418400 its reverse (481414), we get a palindrome (41899814).

It can be divided in two parts, 414 and 18400, that multiplied together give a square (7617600 = 2760²).

The spelling of 41418400 in words is "forty-one million, four hundred eighteen thousand, four hundred".