14057100320 has 96 divisors (see below), whose sum is σ = 33631210368. Its totient is φ = 5551792128.

The previous prime is 14057100293. The next prime is 14057100367. The reversal of 14057100320 is 2300175041.

It is a super-3 number, since 3×14057100320³ (a number of 31 digits) contains 333 as substring.

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, 9109469 + ... + 9111011.

It is an arithmetic number, because the mean of its divisors is an integer number (350325108).

Almost surely, 2^14057100320 is an apocalyptic number.

14057100320 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 14057100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815605184).

14057100320 is an abundant number, since it is smaller than the sum of its proper divisors (19574110048).

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

14057100320 is a wasteful number, since it uses less digits than its factorization.

14057100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 14057100320 its reverse (2300175041), we get a palindrome (16357275361).

The spelling of 14057100320 in words is "fourteen billion, fifty-seven million, one hundred thousand, three hundred twenty".