4221400041224 has 16 divisors (see below), whose sum is σ = 7922670493500. Its totient is φ = 2108687909632.

The previous prime is 4221400041197. The next prime is 4221400041247.

It is a happy number.

4221400041224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3243536164324 + 977863876900 = 1800982^2 + 988870^2 .

It is a super-4 number, since 4×4221400041224⁴ (a number of 52 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4221400041193 and 4221400041202.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251504957 + ... + 251521740.

Almost surely, 2^{4221400041224} is an apocalyptic number.

It is an amenable number.

4221400041224 is a deficient number, since it is larger than the sum of its proper divisors (3701270452276).

4221400041224 is a wasteful number, since it uses less digits than its factorization.

4221400041224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503027752 (or 503027748 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 42214000 and 41224, that added together give a palindrome (42255224).

The spelling of 4221400041224 in words is "four trillion, two hundred twenty-one billion, four hundred million, forty-one thousand, two hundred twenty-four".