14406021000 has 384 divisors, whose sum is σ = 58926216960. Its totient is φ = 3098880000.

The previous prime is 14406020999. The next prime is 14406021023. The reversal of 14406021000 is 12060441.

14406021000 is a `hidden beast` number, since 14 + 40 + 602 + 10 + 0 + 0 = 666.

It is a super-3 number, since 3×14406021000³ (a number of 31 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1064275 + ... + 1077725.

It is an arithmetic number, because the mean of its divisors is an integer number (153453690).

Almost surely, 2^14406021000 is an apocalyptic number.

14406021000 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 14406021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29463108480).

14406021000 is an abundant number, since it is smaller than the sum of its proper divisors (44520195960).

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

14406021000 is a wasteful number, since it uses less digits than its factorization.

14406021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13485 counting only the distinct ones).

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

Adding to 14406021000 its reverse (12060441), we get a palindrome (14418081441).

The spelling of 14406021000 in words is "fourteen billion, four hundred six million, twenty-one thousand".