4004220404200 has 96 divisors (see below), whose sum is σ = 9399809980800. Its totient is φ = 1586214256640.

The previous prime is 4004220404147. The next prime is 4004220404221. The reversal of 4004220404200 is 24040224004.

It is a super-2 number, since 2×4004220404200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71212497 + ... + 71268703.

It is an arithmetic number, because the mean of its divisors is an integer number (97914687300).

Almost surely, 2^{4004220404200} is an apocalyptic number.

4004220404200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004220404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699904990400).

4004220404200 is an abundant number, since it is smaller than the sum of its proper divisors (5395589576600).

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

4004220404200 is a wasteful number, since it uses less digits than its factorization.

4004220404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59659 (or 59650 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4004220404200 its reverse (24040224004), we get a palindrome (4028260628204).

The spelling of 4004220404200 in words is "four trillion, four billion, two hundred twenty million, four hundred four thousand, two hundred".