14135255040 has 224 divisors, whose sum is σ = 46467430560. Its totient is φ = 3666345984.

The previous prime is 14135255027. The next prime is 14135255059. The reversal of 14135255040 is 4055253141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14135254989 and 14135255007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4545006 + ... + 4548114.

Almost surely, 2^14135255040 is an apocalyptic number.

14135255040 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 14135255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233715280).

14135255040 is an abundant number, since it is smaller than the sum of its proper divisors (32332175520).

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

14135255040 is an equidigital number, since it uses as much as digits as its factorization.

14135255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 14135255040 in words is "fourteen billion, one hundred thirty-five million, two hundred fifty-five thousand, forty".