14206127040 has 672 divisors, whose sum is σ = 58057084800. Its totient is φ = 3186376704.

The previous prime is 14206127029. The next prime is 14206127041. The reversal of 14206127040 is 4072160241.

14206127040 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 612 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 14206126995 and 14206127013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14206127041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72112222 + ... + 72112418.

Almost surely, 2^14206127040 is an apocalyptic number.

14206127040 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 14206127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29028542400).

14206127040 is an abundant number, since it is smaller than the sum of its proper divisors (43850957760).

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

14206127040 is a wasteful number, since it uses less digits than its factorization.

14206127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 14206127040 its reverse (4072160241), we get a palindrome (18278287281).

It can be divided in two parts, 14206 and 127040, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 14206127040 in words is "fourteen billion, two hundred six million, one hundred twenty-seven thousand, forty".