14040825120 has 960 divisors, whose sum is σ = 60066800640. Its totient is φ = 3021815808.

The previous prime is 14040825103. The next prime is 14040825193. The reversal of 14040825120 is 2152804041.

14040825120 is a `hidden beast` number, since 1 + 4 + 0 + 408 + 251 + 2 + 0 = 666.

14040825120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157762036 + ... + 157762124.

It is an arithmetic number, because the mean of its divisors is an integer number (62569584).

Almost surely, 2^14040825120 is an apocalyptic number.

14040825120 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 14040825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30033400320).

14040825120 is an abundant number, since it is smaller than the sum of its proper divisors (46025975520).

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

14040825120 is a wasteful number, since it uses less digits than its factorization.

14040825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

It can be divided in two parts, 14040 and 825120, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 14040825120 in words is "fourteen billion, forty million, eight hundred twenty-five thousand, one hundred twenty".