14209981440 has 704 divisors, whose sum is σ = 52350796800. Its totient is φ = 3269984256.

The previous prime is 14209981427. The next prime is 14209981493. The reversal of 14209981440 is 4418990241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14209981392 and 14209981401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194657244 + ... + 194657316.

Almost surely, 2^14209981440 is an apocalyptic number.

14209981440 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 14209981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26175398400).

14209981440 is an abundant number, since it is smaller than the sum of its proper divisors (38140815360).

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

14209981440 is a wasteful number, since it uses less digits than its factorization.

14209981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 14209981440 in words is "fourteen billion, two hundred nine million, nine hundred eighty-one thousand, four hundred forty".