14433102034340 has 192 divisors, whose sum is σ = 35405467711488. Its totient is φ = 4883997696000.

The previous prime is 14433102034339. The next prime is 14433102034349. The reversal of 14433102034340 is 4343020133441.

It is a junction number, because it is equal to n+sod(n) for n = 14433102034297 and 14433102034306.

It is not an unprimeable number, because it can be changed into a prime (14433102034349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276857357 + ... + 276909483.

It is an arithmetic number, because the mean of its divisors is an integer number (184403477664).

Almost surely, 2^{14433102034340} is an apocalyptic number.

14433102034340 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 14433102034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702733855744).

14433102034340 is an abundant number, since it is smaller than the sum of its proper divisors (20972365677148).

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

14433102034340 is a wasteful number, since it uses less digits than its factorization.

14433102034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52998 (or 52996 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14433102034340 its reverse (4343020133441), we get a palindrome (18776122167781).

The spelling of 14433102034340 in words is "fourteen trillion, four hundred thirty-three billion, one hundred two million, thirty-four thousand, three hundred forty".