414441040 has 80 divisors (see below), whose sum is σ = 1042933248. Its totient is φ = 152252928.

The previous prime is 414441019. The next prime is 414441043. The reversal of 414441040 is 40144414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×414441040² = 343522751272563200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414441043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231027 + ... + 232813.

Almost surely, 2^414441040 is an apocalyptic number.

414441040 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 414441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521466624).

414441040 is an abundant number, since it is smaller than the sum of its proper divisors (628492208).

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

414441040 is a wasteful number, since it uses less digits than its factorization.

414441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 414441040 is about 20357.8250311766. The cubic root of 414441040 is about 745.5685583732.

Adding to 414441040 its reverse (40144414), we get a palindrome (454585454).

The spelling of 414441040 in words is "four hundred fourteen million, four hundred forty-one thousand, forty".