14114440124928 has 640 divisors, whose sum is σ = 49260484627200. Its totient is φ = 3933890150400.

The previous prime is 14114440124909. The next prime is 14114440124969. The reversal of 14114440124928 is 82942104441141.

14114440124928 is a `hidden beast` number, since 1 + 4 + 1 + 144 + 4 + 0 + 12 + 492 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555477088 + ... + 555502496.

It is an arithmetic number, because the mean of its divisors is an integer number (76969507230).

Almost surely, 2^{14114440124928} is an apocalyptic number.

14114440124928 is a gapful number since it is divisible by the number (18) 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 14114440124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630242313600).

14114440124928 is an abundant number, since it is smaller than the sum of its proper divisors (35146044502272).

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

14114440124928 is a wasteful number, since it uses less digits than its factorization.

14114440124928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25741 (or 25719 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14114440124928 in words is "fourteen trillion, one hundred fourteen billion, four hundred forty million, one hundred twenty-four thousand, nine hundred twenty-eight".