41434000 has 40 divisors (see below), whose sum is σ = 100192248. Its totient is φ = 16572800.

The previous prime is 41433991. The next prime is 41434013. The reversal of 41434000 is 43414.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 30780304 = 3264^2 + 5548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 8359 + ... + 12358.

Almost surely, 2^41434000 is an apocalyptic number.

41434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41434000 is an abundant number, since it is smaller than the sum of its proper divisors (58758248).

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

41434000 is a wasteful number, since it uses less digits than its factorization.

41434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20740 (or 20724 counting only the distinct ones).

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

The square root of 41434000 is about 6436.9247315780. The cubic root of 41434000 is about 346.0341441128.

Adding to 41434000 its reverse (43414), we get a palindrome (41477414).

The spelling of 41434000 in words is "forty-one million, four hundred thirty-four thousand".