14087700480 has 480 divisors, whose sum is σ = 54356520960. Its totient is φ = 3043491840.

The previous prime is 14087700467. The next prime is 14087700493. The reversal of 14087700480 is 8400778041.

It is an interprime number because it is at equal distance from previous prime (14087700467) and next prime (14087700493).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32685865 + ... + 32686295.

It is an arithmetic number, because the mean of its divisors is an integer number (113242752).

Almost surely, 2^14087700480 is an apocalyptic number.

14087700480 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 14087700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27178260480).

14087700480 is an abundant number, since it is smaller than the sum of its proper divisors (40268820480).

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

14087700480 is an equidigital number, since it uses as much as digits as its factorization.

14087700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 14087700480 in words is "fourteen billion, eighty-seven million, seven hundred thousand, four hundred eighty".