4022400220434 has 32 divisors (see below), whose sum is σ = 8938772832000. Its totient is φ = 1340784222192.

The previous prime is 4022400220429. The next prime is 4022400220469. The reversal of 4022400220434 is 4340220042204.

4022400220434 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 4 + 0 + 0 + 220 + 434 = 666.

4022400220434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4022400220434² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4022400220398 and 4022400220407.

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, 4725687 + ... + 5511525.

It is an arithmetic number, because the mean of its divisors is an integer number (279336651000).

Almost surely, 2^{4022400220434} is an apocalyptic number.

4022400220434 is an abundant number, since it is smaller than the sum of its proper divisors (4916372611566).

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

4022400220434 is a wasteful number, since it uses less digits than its factorization.

4022400220434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880639 (or 880633 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 4022400220434 its reverse (4340220042204), we get a palindrome (8362620262638).

The spelling of 4022400220434 in words is "four trillion, twenty-two billion, four hundred million, two hundred twenty thousand, four hundred thirty-four".