14107204949760 has 1728 divisors, whose sum is σ = 59590324684800. Its totient is φ = 3043166257152.

The previous prime is 14107204949753. The next prime is 14107204949767. The reversal of 14107204949760 is 6794940270141.

14107204949760 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 7 + 2 + 0 + 494 + 97 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (14107204949753) and next prime (14107204949767).

It is a super-3 number, since 3×14107204949760³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14107204949697 and 14107204949706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14107204949767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2853973849 + ... + 2853978791.

It is an arithmetic number, because the mean of its divisors is an integer number (34485141600).

Almost surely, 2^{14107204949760} is an apocalyptic number.

14107204949760 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 14107204949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29795162342400).

14107204949760 is an abundant number, since it is smaller than the sum of its proper divisors (45483119735040).

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

14107204949760 is a wasteful number, since it uses less digits than its factorization.

14107204949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 14107204949760 in words is "fourteen trillion, one hundred seven billion, two hundred four million, nine hundred forty-nine thousand, seven hundred sixty".