14133001302420 has 768 divisors, whose sum is σ = 54939203665920. Its totient is φ = 2618927769600.

The previous prime is 14133001302397. The next prime is 14133001302421. The reversal of 14133001302420 is 2420310033141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133001302421) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1152485209 + ... + 1152497471.

It is an arithmetic number, because the mean of its divisors is an integer number (71535421440).

Almost surely, 2^{14133001302420} is an apocalyptic number.

14133001302420 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 14133001302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27469601832960).

14133001302420 is an abundant number, since it is smaller than the sum of its proper divisors (40806202363500).

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

14133001302420 is a wasteful number, since it uses less digits than its factorization.

14133001302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12956 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14133001302420 its reverse (2420310033141), we get a palindrome (16553311335561).

The spelling of 14133001302420 in words is "fourteen trillion, one hundred thirty-three billion, one million, three hundred two thousand, four hundred twenty".