14506610040 has 192 divisors, whose sum is σ = 51224322240. Its totient is φ = 3539128320.

The previous prime is 14506610023. The next prime is 14506610081. The reversal of 14506610040 is 4001660541.

14506610040 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 6 + 610 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14506609986 and 14506610013.

It is a congruent number.

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, 515125 + ... + 542555.

It is an arithmetic number, because the mean of its divisors is an integer number (266793345).

Almost surely, 2^14506610040 is an apocalyptic number.

14506610040 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 14506610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25612161120).

14506610040 is an abundant number, since it is smaller than the sum of its proper divisors (36717712200).

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

14506610040 is a wasteful number, since it uses less digits than its factorization.

14506610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27574 (or 27567 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 14506610040 in words is "fourteen billion, five hundred six million, six hundred ten thousand, forty".