214482401280 has 1920 divisors, whose sum is σ = 970948218240. Its totient is φ = 44166021120.

The previous prime is 214482401257. The next prime is 214482401281. The reversal of 214482401280 is 82104284412.

It is a happy number.

214482401280 is a `hidden beast` number, since 2 + 14 + 482 + 40 + 128 + 0 = 666.

214482401280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214482401281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4046837734 + ... + 4046837786.

It is an arithmetic number, because the mean of its divisors is an integer number (505702197).

Almost surely, 2^214482401280 is an apocalyptic number.

214482401280 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 214482401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485474109120).

214482401280 is an abundant number, since it is smaller than the sum of its proper divisors (756465816960).

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

214482401280 is a wasteful number, since it uses less digits than its factorization.

214482401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 214482401280 its reverse (82104284412), we get a palindrome (296586685692).

The spelling of 214482401280 in words is "two hundred fourteen billion, four hundred eighty-two million, four hundred one thousand, two hundred eighty".