14210121440 has 96 divisors (see below), whose sum is σ = 33977180160. Its totient is φ = 5615737344.

The previous prime is 14210121439. The next prime is 14210121461. The reversal of 14210121440 is 4412101241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5342831 + ... + 5345489.

It is an arithmetic number, because the mean of its divisors is an integer number (353928960).

Almost surely, 2^14210121440 is an apocalyptic number.

14210121440 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 14210121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988590080).

14210121440 is an abundant number, since it is smaller than the sum of its proper divisors (19767058720).

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

14210121440 is a wasteful number, since it uses less digits than its factorization.

14210121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14210121440 its reverse (4412101241), we get a palindrome (18622222681).

The spelling of 14210121440 in words is "fourteen billion, two hundred ten million, one hundred twenty-one thousand, four hundred forty".