42401312901 has 12 divisors (see below), whose sum is σ = 61257717612. Its totient is φ = 28262291136.

The previous prime is 42401312887. The next prime is 42401312903. The reversal of 42401312901 is 10921310424.

It is a happy number.

42401312901 is a `hidden beast` number, since 4 + 240 + 131 + 290 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5594890401 + 36806422500 = 74799^2 + 191850^2 .

It is not a de Polignac number, because 42401312901 - 2¹⁹ = 42400788613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42401312903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386106 + ... + 483611.

It is an arithmetic number, because the mean of its divisors is an integer number (5104809801).

Almost surely, 2^42401312901 is an apocalyptic number.

It is an amenable number.

42401312901 is a deficient number, since it is larger than the sum of its proper divisors (18856404711).

42401312901 is a wasteful number, since it uses less digits than its factorization.

42401312901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875140 (or 875137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 42401312901 in words is "forty-two billion, four hundred one million, three hundred twelve thousand, nine hundred one".