14001480529920 has 3456 divisors, whose sum is σ = 61419384673920. Its totient is φ = 3027071139840.

The previous prime is 14001480529871. The next prime is 14001480529921. The reversal of 14001480529920 is 2992508410041.

It is a happy number.

14001480529920 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 4 + 80 + 529 + 9 + 2 + 0 = 666.

14001480529920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001480529921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 341499525100 + ... + 341499525140.

It is an arithmetic number, because the mean of its divisors is an integer number (17771812695).

Almost surely, 2^{14001480529920} is an apocalyptic number.

14001480529920 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 14001480529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709692336960).

14001480529920 is an abundant number, since it is smaller than the sum of its proper divisors (47417904144000).

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

14001480529920 is an equidigital number, since it uses as much as digits as its factorization.

14001480529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

Adding to 14001480529920 its reverse (2992508410041), we get a palindrome (16993988939961).

The spelling of 14001480529920 in words is "fourteen trillion, one billion, four hundred eighty million, five hundred twenty-nine thousand, nine hundred twenty".