14406189120 has 448 divisors, whose sum is σ = 53995929600. Its totient is φ = 3605575680.

The previous prime is 14406189103. The next prime is 14406189163. The reversal of 14406189120 is 2198160441.

14406189120 is a `hidden beast` number, since 14 + 4 + 0 + 618 + 9 + 1 + 20 = 666.

It is a super-2 number, since 2×14406189120² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20847975 + ... + 20848665.

Almost surely, 2^14406189120 is an apocalyptic number.

14406189120 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 14406189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26997964800).

14406189120 is an abundant number, since it is smaller than the sum of its proper divisors (39589740480).

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

14406189120 is a wasteful number, since it uses less digits than its factorization.

14406189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 14406189120 in words is "fourteen billion, four hundred six million, one hundred eighty-nine thousand, one hundred twenty".