4240442004200 has 48 divisors (see below), whose sum is σ = 9859338967500. Its totient is φ = 1696123243520.

The previous prime is 4240442004131. The next prime is 4240442004257. The reversal of 4240442004200 is 24002440424.

It can be written as a sum of positive squares in 6 ways, for example, as 2046210089764 + 2194231914436 = 1430458^2 + 1481294^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4240442004200.

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, 6347726 + ... + 6983874.

Almost surely, 2^{4240442004200} is an apocalyptic number.

4240442004200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240442004200 is an abundant number, since it is smaller than the sum of its proper divisors (5618896963300).

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

4240442004200 is a wasteful number, since it uses less digits than its factorization.

4240442004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669494 (or 669485 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4240442004200 its reverse (24002440424), we get a palindrome (4264444444624).

The spelling of 4240442004200 in words is "four trillion, two hundred forty billion, four hundred forty-two million, four thousand, two hundred".