21110401224144 has 30 divisors (see below), whose sum is σ = 59079803426306. Its totient is φ = 7036800408000.

The previous prime is 21110401224131. The next prime is 21110401224203. The reversal of 21110401224144 is 44142210401112.

21110401224144 is a `hidden beast` number, since 2 + 1 + 1 + 10 + 401 + 2 + 241 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19204377998400 + 1906023225744 = 4382280^2 + 1380588^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73300004107 + ... + 73300004394.

Almost surely, 2^{21110401224144} is an apocalyptic number.

21110401224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21110401224144 is an abundant number, since it is smaller than the sum of its proper divisors (37969402202162).

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

21110401224144 is a wasteful number, since it uses less digits than its factorization.

21110401224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146600008515 (or 146600008506 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 21110401224144 its reverse (44142210401112), we get a palindrome (65252611625256).

The spelling of 21110401224144 in words is "twenty-one trillion, one hundred ten billion, four hundred one million, two hundred twenty-four thousand, one hundred forty-four".