221441000400 has 180 divisors, whose sum is σ = 813665641932. Its totient is φ = 55577333760.

The previous prime is 221441000393. The next prime is 221441000441. The reversal of 221441000400 is 4000144122.

221441000400 is a `hidden beast` number, since 2 + 214 + 410 + 0 + 0 + 40 + 0 = 666.

221441000400 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 6 ways, for example, as 18108546624 + 203332453776 = 134568^2 + 450924^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×221441000400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1747959 + ... + 1870358.

Almost surely, 2^221441000400 is an apocalyptic number.

221441000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221441000400 is an abundant number, since it is smaller than the sum of its proper divisors (592224641532).

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

221441000400 is a wasteful number, since it uses less digits than its factorization.

221441000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618358 (or 3618344 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221441000400 its reverse (4000144122), we get a palindrome (225441144522).

The spelling of 221441000400 in words is "two hundred twenty-one billion, four hundred forty-one million, four hundred", and thus it is an aban number.