14100123405420 has 288 divisors, whose sum is σ = 48535977934080. Its totient is φ = 3284643985920.

The previous prime is 14100123405371. The next prime is 14100123405449. The reversal of 14100123405420 is 2450432100141.

14100123405420 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 1 + 234 + 0 + 5 + 420 = 666.

14100123405420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41936175 + ... + 42271065.

It is an arithmetic number, because the mean of its divisors is an integer number (168527701160).

Almost surely, 2^{14100123405420} is an apocalyptic number.

14100123405420 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 14100123405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267988967040).

14100123405420 is an abundant number, since it is smaller than the sum of its proper divisors (34435854528660).

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

14100123405420 is a wasteful number, since it uses less digits than its factorization.

14100123405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335885 (or 335880 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14100123405420 its reverse (2450432100141), we get a palindrome (16550555505561).

The spelling of 14100123405420 in words is "fourteen trillion, one hundred billion, one hundred twenty-three million, four hundred five thousand, four hundred twenty".