221414132400 has 120 divisors (see below), whose sum is σ = 709518754560. Its totient is φ = 59022501120.

The previous prime is 221414132371. The next prime is 221414132441. The reversal of 221414132400 is 4231414122.

221414132400 is digitally balanced in base 2 and base 3, because in such bases 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 3451821 + ... + 3515379.

It is an arithmetic number, because the mean of its divisors is an integer number (5912656288).

Almost surely, 2^221414132400 is an apocalyptic number.

221414132400 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 221414132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354759377280).

221414132400 is an abundant number, since it is smaller than the sum of its proper divisors (488104622160).

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

221414132400 is a wasteful number, since it uses less digits than its factorization.

221414132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66483 (or 66472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221414132400 its reverse (4231414122), we get a palindrome (225645546522).

The spelling of 221414132400 in words is "two hundred twenty-one billion, four hundred fourteen million, one hundred thirty-two thousand, four hundred".