14434210314040 has 256 divisors, whose sum is σ = 37464394752000. Its totient is φ = 4953672007680.

The previous prime is 14434210314011. The next prime is 14434210314067. The reversal of 14434210314040 is 4041301243441.

It is a super-2 number, since 2×14434210314040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14434210313993 and 14434210314011.

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, 431408992 + ... + 431442448.

It is an arithmetic number, because the mean of its divisors is an integer number (146345292000).

Almost surely, 2^{14434210314040} is an apocalyptic number.

14434210314040 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 14434210314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732197376000).

14434210314040 is an abundant number, since it is smaller than the sum of its proper divisors (23030184437960).

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

14434210314040 is a wasteful number, since it uses less digits than its factorization.

14434210314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34070 (or 34066 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 14434210314040 its reverse (4041301243441), we get a palindrome (18475511557481).

The spelling of 14434210314040 in words is "fourteen trillion, four hundred thirty-four billion, two hundred ten million, three hundred fourteen thousand, forty".