4004204200000 has 84 divisors (see below), whose sum is σ = 9931668215364. Its totient is φ = 1601681600000.

The previous prime is 4004204199979. The next prime is 4004204200019. The reversal of 4004204200000 is 24024004.

It can be written as a sum of positive squares in 6 ways, for example, as 2973638131776 + 1030566068224 = 1724424^2 + 1015168^2 .

It is a super-3 number, since 3×4004204200000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9810511 + ... + 10210510.

It is an arithmetic number, because the mean of its divisors is an integer number (118234145421).

Almost surely, 2^{4004204200000} is an apocalyptic number.

4004204200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004204200000 is an abundant number, since it is smaller than the sum of its proper divisors (5927464015364).

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

4004204200000 is an frugal number, since it uses more digits than its factorization.

4004204200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021058 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4004204200000 its reverse (24024004), we get a palindrome (4004228224004).

The spelling of 4004204200000 in words is "four trillion, four billion, two hundred four million, two hundred thousand".