4024140420300 has 1728 divisors, whose sum is σ = 16879279656960. Its totient is φ = 726340608000.

The previous prime is 4024140420299. The next prime is 4024140420317. The reversal of 4024140420300 is 30240414204.

It is a happy number.

It is a super-2 number, since 2×4024140420300² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2411107866 + ... + 2411109534.

Almost surely, 2^{4024140420300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024140420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439639828480).

4024140420300 is an abundant number, since it is smaller than the sum of its proper divisors (12855139236660).

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

4024140420300 is a wasteful number, since it uses less digits than its factorization.

4024140420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4024140420300 its reverse (30240414204), we get a palindrome (4054380834504).

The spelling of 4024140420300 in words is "four trillion, twenty-four billion, one hundred forty million, four hundred twenty thousand, three hundred".