14207114880 has 1280 divisors, whose sum is σ = 63980928000. Its totient is φ = 2991292416.

The previous prime is 14207114879. The next prime is 14207114893. The reversal of 14207114880 is 8841170241.

It is a super-2 number, since 2×14207114880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 302279017 + ... + 302279063.

It is an arithmetic number, because the mean of its divisors is an integer number (49985100).

Almost surely, 2^14207114880 is an apocalyptic number.

14207114880 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 14207114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990464000).

14207114880 is an abundant number, since it is smaller than the sum of its proper divisors (49773813120).

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

14207114880 is an equidigital number, since it uses as much as digits as its factorization.

14207114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 14207114880 in words is "fourteen billion, two hundred seven million, one hundred fourteen thousand, eight hundred eighty".