14201361460 has 192 divisors, whose sum is σ = 36832207104. Its totient is φ = 4528742400.

The previous prime is 14201361457. The next prime is 14201361467. The reversal of 14201361460 is 6416310241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201361467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548700 + ... + 4551820.

It is an arithmetic number, because the mean of its divisors is an integer number (191834412).

Almost surely, 2^14201361460 is an apocalyptic number.

14201361460 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 14201361460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416103552).

14201361460 is an abundant number, since it is smaller than the sum of its proper divisors (22630845644).

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

14201361460 is a wasteful number, since it uses less digits than its factorization.

14201361460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 14201361460 in words is "fourteen billion, two hundred one million, three hundred sixty-one thousand, four hundred sixty".