14414153251420 has 96 divisors (see below), whose sum is σ = 32679321224256. Its totient is φ = 5308910131200.

The previous prime is 14414153251361. The next prime is 14414153251441. The reversal of 14414153251420 is 2415235141441.

It is a super-3 number, since 3×14414153251420³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14414153251420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245288682 + ... + 245347438.

It is an arithmetic number, because the mean of its divisors is an integer number (340409596086).

Almost surely, 2^{14414153251420} is an apocalyptic number.

14414153251420 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 14414153251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339660612128).

14414153251420 is an abundant number, since it is smaller than the sum of its proper divisors (18265167972836).

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

14414153251420 is a wasteful number, since it uses less digits than its factorization.

14414153251420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61111 (or 61109 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 14414153251420 its reverse (2415235141441), we get a palindrome (16829388392861).

The spelling of 14414153251420 in words is "fourteen trillion, four hundred fourteen billion, one hundred fifty-three million, two hundred fifty-one thousand, four hundred twenty".