14401152515420 has 192 divisors, whose sum is σ = 33867445248000. Its totient is φ = 5099969952000.

The previous prime is 14401152515417. The next prime is 14401152515429. The reversal of 14401152515420 is 2451525110441.

14401152515420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14401152515429) 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, 432048155 + ... + 432081485.

It is an arithmetic number, because the mean of its divisors is an integer number (176392944000).

Almost surely, 2^{14401152515420} is an apocalyptic number.

14401152515420 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 14401152515420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933722624000).

14401152515420 is an abundant number, since it is smaller than the sum of its proper divisors (19466292732580).

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

14401152515420 is a wasteful number, since it uses less digits than its factorization.

14401152515420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33760 (or 33758 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 14401152515420 its reverse (2451525110441), we get a palindrome (16852677625861).

The spelling of 14401152515420 in words is "fourteen trillion, four hundred one billion, one hundred fifty-two million, five hundred fifteen thousand, four hundred twenty".