14207061330 has 576 divisors, whose sum is σ = 51806926080. Its totient is φ = 2627665920.

The previous prime is 14207061287. The next prime is 14207061359. The reversal of 14207061330 is 3316070241.

14207061330 is a `hidden beast` number, since 1 + 42 + 0 + 7 + 0 + 613 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14207061294 and 14207061303.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24622002 + ... + 24622578.

It is an arithmetic number, because the mean of its divisors is an integer number (89942580).

Almost surely, 2^14207061330 is an apocalyptic number.

14207061330 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 14207061330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25903463040).

14207061330 is an abundant number, since it is smaller than the sum of its proper divisors (37599864750).

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

14207061330 is a wasteful number, since it uses less digits than its factorization.

14207061330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 14207061330 in words is "fourteen billion, two hundred seven million, sixty-one thousand, three hundred thirty".