14414004 has 72 divisors (see below), whose sum is σ = 41112960. Its totient is φ = 4363920.

The previous prime is 14414003. The next prime is 14414009. The reversal of 14414004 is 40041441.

14414004 = T₂₁₇ + T₂₁₈ + ... + T₄₅₈.

It is a super-2 number, since 2×14414004² = 415527022624032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12517 + ... + 13619.

Almost surely, 2^14414004 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 14414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556480).

14414004 is an abundant number, since it is smaller than the sum of its proper divisors (26698956).

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

14414004 is a wasteful number, since it uses less digits than its factorization.

14414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14414004 is about 3796.5779328232. The cubic root of 14414004 is about 243.3669201569.

Adding to 14414004 its reverse (40041441), we get a palindrome (54455445).

It can be divided in two parts, 1441 and 4004, that added together give a palindrome (5445).

The spelling of 14414004 in words is "fourteen million, four hundred fourteen thousand, four".