214101104400 has 90 divisors (see below), whose sum is σ = 742990317290. Its totient is φ = 57093626880.

The previous prime is 214101104381. The next prime is 214101104417. The reversal of 214101104400 is 4401101412.

214101104400 is a `hidden beast` number, since 214 + 1 + 0 + 1 + 10 + 440 + 0 = 666.

214101104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 29926232064 + 184174872336 = 172992^2 + 429156^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29732665 + ... + 29739864.

Almost surely, 2^214101104400 is an apocalyptic number.

214101104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214101104400 is an abundant number, since it is smaller than the sum of its proper divisors (528889212890).

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

214101104400 is a wasteful number, since it uses less digits than its factorization.

214101104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59472553 (or 59472539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 214101104400 its reverse (4401101412), we get a palindrome (218502205812).

The spelling of 214101104400 in words is "two hundred fourteen billion, one hundred one million, one hundred four thousand, four hundred".