14402725120 has 288 divisors, whose sum is σ = 42045308928. Its totient is φ = 4619771904.

The previous prime is 14402725081. The next prime is 14402725123. The reversal of 14402725120 is 2152720441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14402725123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9685017 + ... + 9686503.

It is an arithmetic number, because the mean of its divisors is an integer number (145990656).

Almost surely, 2^14402725120 is an apocalyptic number.

14402725120 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 14402725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022654464).

14402725120 is an abundant number, since it is smaller than the sum of its proper divisors (27642583808).

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

14402725120 is a wasteful number, since it uses less digits than its factorization.

14402725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 14402725120 in words is "fourteen billion, four hundred two million, seven hundred twenty-five thousand, one hundred twenty".