4200224220024 has 64 divisors (see below), whose sum is σ = 12000836755200. Its totient is φ = 1200044450304.

The previous prime is 4200224219959. The next prime is 4200224220037.

4200224220024 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4200224220024³ (a number of 39 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4200224219976 and 4200224220003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12421239 + ... + 12754905.

It is an arithmetic number, because the mean of its divisors is an integer number (187513074300).

Almost surely, 2^{4200224220024} is an apocalyptic number.

It is an amenable number.

4200224220024 is an abundant number, since it is smaller than the sum of its proper divisors (7800612535176).

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

4200224220024 is a wasteful number, since it uses less digits than its factorization.

4200224220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408612 (or 408608 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 4200224220024 in words is "four trillion, two hundred billion, two hundred twenty-four million, two hundred twenty thousand, twenty-four".