14078290885120 has 640 divisors, whose sum is σ = 43016989593600. Its totient is φ = 4380473180160.

The previous prime is 14078290885091. The next prime is 14078290885129. The reversal of 14078290885120 is 2158809287041.

14078290885120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (14078290885129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8760603357 + ... + 8760604963.

It is an arithmetic number, because the mean of its divisors is an integer number (67214046240).

Almost surely, 2^{14078290885120} is an apocalyptic number.

14078290885120 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 14078290885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508494796800).

14078290885120 is an abundant number, since it is smaller than the sum of its proper divisors (28938698708480).

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

14078290885120 is an equidigital number, since it uses as much as digits as its factorization.

14078290885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 14078290885120 in words is "fourteen trillion, seventy-eight billion, two hundred ninety million, eight hundred eighty-five thousand, one hundred twenty".