4004120224242 has 32 divisors (see below), whose sum is σ = 8899259578560. Its totient is φ = 1334524546080.

The previous prime is 4004120224241. The next prime is 4004120224253. The reversal of 4004120224242 is 2424220214004.

4004120224242 is a `hidden beast` number, since 4 + 0 + 0 + 412 + 0 + 2 + 2 + 4 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4004120224241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4661443 + ... + 5453190.

It is an arithmetic number, because the mean of its divisors is an integer number (278101861830).

Almost surely, 2^{4004120224242} is an apocalyptic number.

4004120224242 is an abundant number, since it is smaller than the sum of its proper divisors (4895139354318).

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

4004120224242 is a wasteful number, since it uses less digits than its factorization.

4004120224242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121975 (or 10121969 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4004120224242 its reverse (2424220214004), we get a palindrome (6428340438246).

The spelling of 4004120224242 in words is "four trillion, four billion, one hundred twenty million, two hundred twenty-four thousand, two hundred forty-two".