14000004000 has 288 divisors, whose sum is σ = 50022672336. Its totient is φ = 3708057600.

The previous prime is 14000003989. The next prime is 14000004037. The reversal of 14000004000 is 40000041.

It can be written as a sum of positive squares in 8 ways, for example, as 76947984 + 13923056016 = 8772^2 + 117996^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14000004000² (a number of 21 digits) 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 47 ways as a sum of consecutive naturals, for example, 5650762 + ... + 5653238.

Almost surely, 2^14000004000 is an apocalyptic number.

14000004000 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 14000004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25011336168).

14000004000 is an abundant number, since it is smaller than the sum of its proper divisors (36022668336).

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

14000004000 is a wasteful number, since it uses less digits than its factorization.

14000004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2644 counting only the distinct ones).

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

Adding to 14000004000 its reverse (40000041), we get a palindrome (14040004041).

The spelling of 14000004000 in words is "fourteen billion, four thousand".