14401456128 has 192 divisors, whose sum is σ = 43819776000. Its totient is φ = 4670078976.

The previous prime is 14401456117. The next prime is 14401456171. The reversal of 14401456128 is 82165410441.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 14401456092 and 14401456101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2042433 + ... + 2049471.

It is an arithmetic number, because the mean of its divisors is an integer number (228228000).

Almost surely, 2^14401456128 is an apocalyptic number.

14401456128 is a gapful number since it is divisible by the number (18) 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 14401456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909888000).

14401456128 is an abundant number, since it is smaller than the sum of its proper divisors (29418319872).

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

14401456128 is an equidigital number, since it uses as much as digits as its factorization.

14401456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 14401456128 its reverse (82165410441), we get a palindrome (96566866569).

The spelling of 14401456128 in words is "fourteen billion, four hundred one million, four hundred fifty-six thousand, one hundred twenty-eight".