14136625440 has 720 divisors, whose sum is σ = 58846693752. Its totient is φ = 3186376704.

The previous prime is 14136625429. The next prime is 14136625453. The reversal of 14136625440 is 4452663141.

14136625440 is a `hidden beast` number, since 1 + 4 + 1 + 366 + 254 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11255512464 + 2881112976 = 106092^2 + 53676^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14136625395 and 14136625404.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71759422 + ... + 71759618.

Almost surely, 2^14136625440 is an apocalyptic number.

14136625440 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 14136625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29423346876).

14136625440 is an abundant number, since it is smaller than the sum of its proper divisors (44710068312).

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

14136625440 is a wasteful number, since it uses less digits than its factorization.

14136625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14136625440 in words is "fourteen billion, one hundred thirty-six million, six hundred twenty-five thousand, four hundred forty".