14004000 has 144 divisors (see below), whose sum is σ = 49827960. Its totient is φ = 3724800.

The previous prime is 14003981. The next prime is 14004041. The reversal of 14004000 is 40041.

14004000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 11532816 = 1572^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14004000² = 392224032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35806 + ... + 36194.

Almost surely, 2^14004000 is an apocalyptic number.

14004000 is a gapful number since it is divisible by the number (10) 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 14004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24913980).

14004000 is an abundant number, since it is smaller than the sum of its proper divisors (35823960).

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

14004000 is a wasteful number, since it uses less digits than its factorization.

14004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14004000 is about 3742.1918710830. The cubic root of 14004000 is about 241.0371779676.

Adding to 14004000 its reverse (40041), we get a palindrome (14044041).

It can be divided in two parts, 1 and 4004000, that added together give a square (4004001 = 2001²).

The spelling of 14004000 in words is "fourteen million, four thousand".