14001064200 has 288 divisors, whose sum is σ = 48096921600. Its totient is φ = 3649121280.

The previous prime is 14001064163. The next prime is 14001064237. The reversal of 14001064200 is 246010041.

14001064200 is a `hidden beast` number, since 1 + 400 + 1 + 0 + 64 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (14001064163) and next prime (14001064237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16687381 + ... + 16688219.

It is an arithmetic number, because the mean of its divisors is an integer number (167003200).

Almost surely, 2^14001064200 is an apocalyptic number.

14001064200 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 14001064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24048460800).

14001064200 is an abundant number, since it is smaller than the sum of its proper divisors (34095857400).

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

14001064200 is a wasteful number, since it uses less digits than its factorization.

14001064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14001064200 its reverse (246010041), we get a palindrome (14247074241).

The spelling of 14001064200 in words is "fourteen billion, one million, sixty-four thousand, two hundred".