4120402431104 has 128 divisors (see below), whose sum is σ = 8472426163200. Its totient is φ = 1995031793664.

The previous prime is 4120402431097. The next prime is 4120402431107. The reversal of 4120402431104 is 4011342040214.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4120402431107) 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, 225729242 + ... + 225747494.

It is an arithmetic number, because the mean of its divisors is an integer number (66190829400).

Almost surely, 2^{4120402431104} 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 4120402431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236213081600).

4120402431104 is an abundant number, since it is smaller than the sum of its proper divisors (4352023732096).

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

4120402431104 is a wasteful number, since it uses less digits than its factorization.

4120402431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18710 (or 18698 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4120402431104 its reverse (4011342040214), we get a palindrome (8131744471318).

The spelling of 4120402431104 in words is "four trillion, one hundred twenty billion, four hundred two million, four hundred thirty-one thousand, one hundred four".