214478100480 has 384 divisors, whose sum is σ = 800908093440. Its totient is φ = 47978250240.

The previous prime is 214478100479. The next prime is 214478100497. The reversal of 214478100480 is 84001874412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10096270 + ... + 10117490.

It is an arithmetic number, because the mean of its divisors is an integer number (2085698160).

Almost surely, 2^214478100480 is an apocalyptic number.

214478100480 is a gapful number since it is divisible by the number (20) 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 214478100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400454046720).

214478100480 is an abundant number, since it is smaller than the sum of its proper divisors (586429992960).

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

214478100480 is a wasteful number, since it uses less digits than its factorization.

214478100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21305 (or 21285 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

Adding to 214478100480 its reverse (84001874412), we get a palindrome (298479974892).

The spelling of 214478100480 in words is "two hundred fourteen billion, four hundred seventy-eight million, one hundred thousand, four hundred eighty".