14427746005140 has 288 divisors, whose sum is σ = 48416831517600. Its totient is φ = 3454575464448.

The previous prime is 14427746005091. The next prime is 14427746005159. The reversal of 14427746005140 is 4150064772441.

14427746005140 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 7 + 74 + 60 + 0 + 514 + 0 = 666.

14427746005140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 5608342821636 + 8819403183504 = 2368194^2 + 2969748^2 .

It is a super-3 number, since 3×14427746005140³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 376517262 + ... + 376555578.

It is an arithmetic number, because the mean of its divisors is an integer number (168113998325).

Almost surely, 2^{14427746005140} is an apocalyptic number.

14427746005140 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 14427746005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24208415758800).

14427746005140 is an abundant number, since it is smaller than the sum of its proper divisors (33989085512460).

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

14427746005140 is a wasteful number, since it uses less digits than its factorization.

14427746005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42731 (or 42726 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 14427746005140 in words is "fourteen trillion, four hundred twenty-seven billion, seven hundred forty-six million, five thousand, one hundred forty".