414134144 has 64 divisors (see below), whose sum is σ = 884474640. Its totient is φ = 192454656.

The previous prime is 414134137. The next prime is 414134167. The reversal of 414134144 is 441431414.

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

It is a super-2 number, since 2×414134144² = 343014178453225472, which contains 22 as substring.

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, 179462 + ... + 181754.

Almost surely, 2^414134144 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 414134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442237320).

414134144 is an abundant number, since it is smaller than the sum of its proper divisors (470340496).

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

414134144 is a wasteful number, since it uses less digits than its factorization.

414134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2395 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 414134144 is about 20350.2860913551. The cubic root of 414134144 is about 745.3844803111.

Adding to 414134144 its reverse (441431414), we get a palindrome (855565558).

The spelling of 414134144 in words is "four hundred fourteen million, one hundred thirty-four thousand, one hundred forty-four".