14140500480 has 280 divisors, whose sum is σ = 50839544052. Its totient is φ = 3770302464.

The previous prime is 14140500467. The next prime is 14140500547. The reversal of 14140500480 is 8400504141.

It is a happy number.

14140500480 is a `hidden beast` number, since 1 + 41 + 40 + 500 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11757498624 + 2383001856 = 108432^2 + 48816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1862452 + ... + 1870028.

Almost surely, 2^14140500480 is an apocalyptic number.

14140500480 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 14140500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25419772026).

14140500480 is an abundant number, since it is smaller than the sum of its proper divisors (36699043572).

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

14140500480 is an frugal number, since it uses more digits than its factorization.

14140500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7587 counting only the distinct ones).

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

The spelling of 14140500480 in words is "fourteen billion, one hundred forty million, five hundred thousand, four hundred eighty".