14128467120 has 240 divisors, whose sum is σ = 49501644192. Its totient is φ = 3744921600.

The previous prime is 14128467097. The next prime is 14128467137. The reversal of 14128467120 is 2176482141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14128467120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3361020 + ... + 3365220.

Almost surely, 2^14128467120 is an apocalyptic number.

14128467120 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 14128467120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24750822096).

14128467120 is an abundant number, since it is smaller than the sum of its proper divisors (35373177072).

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

14128467120 is a wasteful number, since it uses less digits than its factorization.

14128467120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14128467120 in words is "fourteen billion, one hundred twenty-eight million, four hundred sixty-seven thousand, one hundred twenty".