4204002544000 has 256 divisors, whose sum is σ = 11962035671040. Its totient is φ = 1439361792000.

The previous prime is 4204002543997. The next prime is 4204002544019. The reversal of 4204002544000 is 4452004024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81398185 + ... + 81449815.

It is an arithmetic number, because the mean of its divisors is an integer number (46726701840).

Almost surely, 2^{4204002544000} is an apocalyptic number.

4204002544000 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 4204002544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981017835520).

4204002544000 is an abundant number, since it is smaller than the sum of its proper divisors (7758033127040).

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

4204002544000 is an equidigital number, since it uses as much as digits as its factorization.

4204002544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52394 (or 52372 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 4204002544000 its reverse (4452004024), we get a palindrome (4208454548024).

The spelling of 4204002544000 in words is "four trillion, two hundred four billion, two million, five hundred forty-four thousand".