42401114320 has 40 divisors (see below), whose sum is σ = 100987052040. Its totient is φ = 16546775040.

The previous prime is 42401114309. The next prime is 42401114401. The reversal of 42401114320 is 2341110424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 331822656 + 42069291664 = 18216^2 + 205108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42401114291 and 42401114300.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6460305 + ... + 6466864.

It is an arithmetic number, because the mean of its divisors is an integer number (2524676301).

Almost surely, 2^42401114320 is an apocalyptic number.

42401114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42401114320 is an abundant number, since it is smaller than the sum of its proper divisors (58585937720).

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

42401114320 is a wasteful number, since it uses less digits than its factorization.

42401114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927223 (or 12927217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42401114320 its reverse (2341110424), we get a palindrome (44742224744).

The spelling of 42401114320 in words is "forty-two billion, four hundred one million, one hundred fourteen thousand, three hundred twenty".