14180436480 has 320 divisors, whose sum is σ = 53216951040. Its totient is φ = 3153199104.

The previous prime is 14180436469. The next prime is 14180436481. The reversal of 14180436480 is 8463408141.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (14180436481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985556 + ... + 1992684.

It is an arithmetic number, because the mean of its divisors is an integer number (166302972).

Almost surely, 2^14180436480 is an apocalyptic number.

14180436480 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 14180436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26608475520).

14180436480 is an abundant number, since it is smaller than the sum of its proper divisors (39036514560).

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

14180436480 is an equidigital number, since it uses as much as digits as its factorization.

14180436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 14180436480 in words is "fourteen billion, one hundred eighty million, four hundred thirty-six thousand, four hundred eighty".