214221110400 has 1152 divisors, whose sum is σ = 890884646400. Its totient is φ = 50181120000.

The previous prime is 214221110387. The next prime is 214221110437. The reversal of 214221110400 is 4011122412.

214221110400 is a `hidden beast` number, since 2 + 1 + 42 + 211 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324086070 + ... + 324086730.

Almost surely, 2^214221110400 is an apocalyptic number.

214221110400 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 214221110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445442323200).

214221110400 is an abundant number, since it is smaller than the sum of its proper divisors (676663536000).

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

214221110400 is a wasteful number, since it uses less digits than its factorization.

214221110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 713 counting only the distinct ones).

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

Adding to 214221110400 its reverse (4011122412), we get a palindrome (218232232812).

The spelling of 214221110400 in words is "two hundred fourteen billion, two hundred twenty-one million, one hundred ten thousand, four hundred".