414440144 has 40 divisors (see below), whose sum is σ = 852856128. Its totient is φ = 194424320.

The previous prime is 414440123. The next prime is 414440153. The reversal of 414440144 is 441044414.

It is a congruent number.

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, 92189 + ... + 96579.

Almost surely, 2^414440144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426428064).

414440144 is an abundant number, since it is smaller than the sum of its proper divisors (438415984).

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

414440144 is a wasteful number, since it uses less digits than its factorization.

414440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 414440144 is about 20357.8030248846. The cubic root of 414440144 is about 745.5680210793.

Adding to 414440144 its reverse (441044414), we get a palindrome (855484558).

The spelling of 414440144 in words is "four hundred fourteen million, four hundred forty thousand, one hundred forty-four".