42401110120 has 64 divisors (see below), whose sum is σ = 95927443200. Its totient is φ = 16867388160.

The previous prime is 42401110117. The next prime is 42401110123. The reversal of 42401110120 is 2101110424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42401110117) and next prime (42401110123).

It is a junction number, because it is equal to n+sod(n) for n = 42401110094 and 42401110103.

It is not an unprimeable number, because it can be changed into a prime (42401110123) 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, 5559910 + ... + 5567530.

It is an arithmetic number, because the mean of its divisors is an integer number (1498866300).

Almost surely, 2^42401110120 is an apocalyptic number.

42401110120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42401110120 is an abundant number, since it is smaller than the sum of its proper divisors (53526333080).

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

42401110120 is a wasteful number, since it uses less digits than its factorization.

42401110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 42401110120 its reverse (2101110424), we get a palindrome (44502220544).

The spelling of 42401110120 in words is "forty-two billion, four hundred one million, one hundred ten thousand, one hundred twenty".