14241905920 has 288 divisors, whose sum is σ = 39068983296. Its totient is φ = 4926873600.

The previous prime is 14241905897. The next prime is 14241905929. The reversal of 14241905920 is 2950914241.

It is a self number, because there is not a number n which added to its sum of digits gives 14241905920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241905929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29243917 + ... + 29244403.

It is an arithmetic number, because the mean of its divisors is an integer number (135656192).

Almost surely, 2^14241905920 is an apocalyptic number.

14241905920 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 14241905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19534491648).

14241905920 is an abundant number, since it is smaller than the sum of its proper divisors (24827077376).

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

14241905920 is a wasteful number, since it uses less digits than its factorization.

14241905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 14241905920 in words is "fourteen billion, two hundred forty-one million, nine hundred five thousand, nine hundred twenty".