4204240040000 has 1680 divisors, whose sum is σ = 14490773168256. Its totient is φ = 1174118400000.

The previous prime is 4204240039973. The next prime is 4204240040029. The reversal of 4204240040000 is 400424024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21341319902 + ... + 21341320098.

Almost surely, 2^{4204240040000} is an apocalyptic number.

4204240040000 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 4204240040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245386584128).

4204240040000 is an abundant number, since it is smaller than the sum of its proper divisors (10286533128256).

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

4204240040000 is a wasteful number, since it uses less digits than its factorization.

4204240040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4204240040000 its reverse (400424024), we get a palindrome (4204640464024).

The spelling of 4204240040000 in words is "four trillion, two hundred four billion, two hundred forty million, forty thousand".