41434240 has 64 divisors (see below), whose sum is σ = 100190520. Its totient is φ = 16384000.

The previous prime is 41434223. The next prime is 41434271. The reversal of 41434240 is 4243414.

It can be written as a sum of positive squares in 4 ways, for example, as 41267776 + 166464 = 6424^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64320 + ... + 64960.

Almost surely, 2^41434240 is an apocalyptic number.

41434240 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 41434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50095260).

41434240 is an abundant number, since it is smaller than the sum of its proper divisors (58756280).

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

41434240 is a wasteful number, since it uses less digits than its factorization.

41434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 41434240 is about 6436.9433739936. The cubic root of 41434240 is about 346.0348122279.

Adding to 41434240 its reverse (4243414), we get a palindrome (45677654).

It can be divided in two parts, 41 and 434240, that added together give a square (434281 = 659²).

The spelling of 41434240 in words is "forty-one million, four hundred thirty-four thousand, two hundred forty".