14089645440 has 896 divisors, whose sum is σ = 57312722880. Its totient is φ = 3284582400.

The previous prime is 14089645397. The next prime is 14089645459. The reversal of 14089645440 is 4454698041.

14089645440 is a `hidden beast` number, since 1 + 40 + 8 + 9 + 64 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 139501390 + ... + 139501490.

Almost surely, 2^14089645440 is an apocalyptic number.

14089645440 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 14089645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656361440).

14089645440 is an abundant number, since it is smaller than the sum of its proper divisors (43223077440).

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

14089645440 is a wasteful number, since it uses less digits than its factorization.

14089645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14089645440 in words is "fourteen billion, eighty-nine million, six hundred forty-five thousand, four hundred forty".