42210601224 has 48 divisors (see below), whose sum is σ = 115991949360. Its totient is φ = 12791090400.

The previous prime is 42210601151. The next prime is 42210601247.

It is a happy number.

42210601224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42210601194 and 42210601203.

It is an unprimeable number.

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, 7264762 + ... + 7270569.

It is an arithmetic number, because the mean of its divisors is an integer number (2416498945).

Almost surely, 2^42210601224 is an apocalyptic number.

42210601224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42210601224 is an abundant number, since it is smaller than the sum of its proper divisors (73781348136).

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

42210601224 is a wasteful number, since it uses less digits than its factorization.

42210601224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535362 (or 14535347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 42210601224 in words is "forty-two billion, two hundred ten million, six hundred one thousand, two hundred twenty-four".