14400212240 has 20 divisors (see below), whose sum is σ = 33480493644. Its totient is φ = 5760084864.

The previous prime is 14400212237. The next prime is 14400212273. The reversal of 14400212240 is 4221200441.

It can be written as a sum of positive squares in 2 ways, for example, as 4145814544 + 10254397696 = 64388^2 + 101264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×14400212240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90001247 + ... + 90001406.

Almost surely, 2^14400212240 is an apocalyptic number.

14400212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14400212240 is an abundant number, since it is smaller than the sum of its proper divisors (19080281404).

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

14400212240 is a wasteful number, since it uses less digits than its factorization.

14400212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180002666 (or 180002660 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14400212240 its reverse (4221200441), we get a palindrome (18621412681).

The spelling of 14400212240 in words is "fourteen billion, four hundred million, two hundred twelve thousand, two hundred forty".