14378316480 has 560 divisors, whose sum is σ = 56294853120. Its totient is φ = 3454617600.

The previous prime is 14378316473. The next prime is 14378316521. The reversal of 14378316480 is 8461387341.

14378316480 is a `hidden beast` number, since 1 + 437 + 83 + 1 + 64 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60160201 + ... + 60160439.

Almost surely, 2^14378316480 is an apocalyptic number.

14378316480 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 14378316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28147426560).

14378316480 is an abundant number, since it is smaller than the sum of its proper divisors (41916536640).

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

14378316480 is a wasteful number, since it uses less digits than its factorization.

14378316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14378316480 in words is "fourteen billion, three hundred seventy-eight million, three hundred sixteen thousand, four hundred eighty".