14249442240 has 504 divisors, whose sum is σ = 55611412272. Its totient is φ = 3448811520.

The previous prime is 14249442227. The next prime is 14249442283. The reversal of 14249442240 is 4224494241.

14249442240 is a `hidden beast` number, since 1 + 424 + 9 + 4 + 4 + 224 + 0 = 666.

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 = 14249442195 and 14249442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23094412 + ... + 23095028.

Almost surely, 2^14249442240 is an apocalyptic number.

14249442240 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 14249442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27805706136).

14249442240 is an abundant number, since it is smaller than the sum of its proper divisors (41361970032).

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

14249442240 is an frugal number, since it uses more digits than its factorization.

14249442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14249442240 in words is "fourteen billion, two hundred forty-nine million, four hundred forty-two thousand, two hundred forty".