14161404960 has 360 divisors, whose sum is σ = 51069678660. Its totient is φ = 3695597568.

The previous prime is 14161404941. The next prime is 14161405009. The reversal of 14161404960 is 6940416141.

14161404960 is a `hidden beast` number, since 1 + 4 + 161 + 4 + 0 + 496 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7347232656 + 6814172304 = 85716^2 + 82548^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×14161404960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 36404446 + ... + 36404834.

Almost surely, 2^14161404960 is an apocalyptic number.

14161404960 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 14161404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534839330).

14161404960 is an abundant number, since it is smaller than the sum of its proper divisors (36908273700).

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

14161404960 is an equidigital number, since it uses as much as digits as its factorization.

14161404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14161404960 in words is "fourteen billion, one hundred sixty-one million, four hundred four thousand, nine hundred sixty".