14628405120 has 384 divisors, whose sum is σ = 55151604000. Its totient is φ = 3287531520.

The previous prime is 14628405119. The next prime is 14628405133. The reversal of 14628405120 is 2150482641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5737606 + ... + 5740154.

Almost surely, 2^14628405120 is an apocalyptic number.

14628405120 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 14628405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27575802000).

14628405120 is an abundant number, since it is smaller than the sum of its proper divisors (40523198880).

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

14628405120 is a wasteful number, since it uses less digits than its factorization.

14628405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 14628405120 its reverse (2150482641), we get a palindrome (16778887761).

The spelling of 14628405120 in words is "fourteen billion, six hundred twenty-eight million, four hundred five thousand, one hundred twenty".