14129476745040 has 160 divisors (see below), whose sum is σ = 48681628224000. Its totient is φ = 3766820682240.

The previous prime is 14129476745023. The next prime is 14129476745047. The reversal of 14129476745040 is 4054767492141.

It is a happy number.

14129476745040 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 94 + 7 + 67 + 450 + 40 = 666.

14129476745040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14129476745040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14129476745047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6942186 + ... + 8743734.

It is an arithmetic number, because the mean of its divisors is an integer number (304260176400).

Almost surely, 2^{14129476745040} is an apocalyptic number.

14129476745040 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 14129476745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24340814112000).

14129476745040 is an abundant number, since it is smaller than the sum of its proper divisors (34552151478960).

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

14129476745040 is a wasteful number, since it uses less digits than its factorization.

14129476745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805202 (or 1805190 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 14129476745040 in words is "fourteen trillion, one hundred twenty-nine billion, four hundred seventy-six million, seven hundred forty-five thousand, forty".