4024240004000 has 96 divisors (see below), whose sum is σ = 9890322414336. Its totient is φ = 1609245907200.

The previous prime is 4024240003969. The next prime is 4024240004009. The reversal of 4024240004000 is 4000424204.

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

It is not an unprimeable number, because it can be changed into a prime (4024240004009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14353157 + ... + 14630843.

It is an arithmetic number, because the mean of its divisors is an integer number (103024191816).

Almost surely, 2^{4024240004000} is an apocalyptic number.

4024240004000 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 4024240004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945161207168).

4024240004000 is an abundant number, since it is smaller than the sum of its proper divisors (5866082410336).

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

4024240004000 is a wasteful number, since it uses less digits than its factorization.

4024240004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281335 (or 281317 counting only the distinct ones).

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

Adding to 4024240004000 its reverse (4000424204), we get a palindrome (4028240428204).

The spelling of 4024240004000 in words is "four trillion, twenty-four billion, two hundred forty million, four thousand".