4024241434000 has 160 divisors (see below), whose sum is σ = 10338217999200. Its totient is φ = 1512183859200.

The previous prime is 4024241433917. The next prime is 4024241434013. The reversal of 4024241434000 is 4341424204.

It can be written as a sum of positive squares in 16 ways, for example, as 962133421456 + 3062108012544 = 980884^2 + 1749888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4024241434000.

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, 1208386 + ... + 3083614.

It is an arithmetic number, because the mean of its divisors is an integer number (64613862495).

Almost surely, 2^{4024241434000} is an apocalyptic number.

4024241434000 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 4024241434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169108999600).

4024241434000 is an abundant number, since it is smaller than the sum of its proper divisors (6313976565200).

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

4024241434000 is a wasteful number, since it uses less digits than its factorization.

4024241434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875318 (or 1875302 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4024241434000 its reverse (4341424204), we get a palindrome (4028582858204).

The spelling of 4024241434000 in words is "four trillion, twenty-four billion, two hundred forty-one million, four hundred thirty-four thousand".