14214021024 has 96 divisors (see below), whose sum is σ = 44112539520. Its totient is φ = 3921103872.

The previous prime is 14214021023. The next prime is 14214021071. The reversal of 14214021024 is 42012041241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×14214021024³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14214021023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345199 + ... + 384174.

It is an arithmetic number, because the mean of its divisors is an integer number (459505620).

Almost surely, 2^14214021024 is an apocalyptic number.

14214021024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14214021024 is an abundant number, since it is smaller than the sum of its proper divisors (29898518496).

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

14214021024 is a wasteful number, since it uses less digits than its factorization.

14214021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729422 (or 729414 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14214021024 its reverse (42012041241), we get a palindrome (56226062265).

The spelling of 14214021024 in words is "fourteen billion, two hundred fourteen million, twenty-one thousand, twenty-four".