14141765970 has 128 divisors (see below), whose sum is σ = 39410841600. Its totient is φ = 3601692864.

The previous prime is 14141765951. The next prime is 14141765971. The reversal of 14141765970 is 7956714141.

14141765970 is a `hidden beast` number, since 1 + 41 + 4 + 17 + 6 + 597 + 0 = 666.

14141765970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14141765971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5482141 + ... + 5484719.

It is an arithmetic number, because the mean of its divisors is an integer number (307897200).

Almost surely, 2^14141765970 is an apocalyptic number.

14141765970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141765970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705420800).

14141765970 is an abundant number, since it is smaller than the sum of its proper divisors (25269075630).

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

14141765970 is a wasteful number, since it uses less digits than its factorization.

14141765970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 14141765970 in words is "fourteen billion, one hundred forty-one million, seven hundred sixty-five thousand, nine hundred seventy".