42402244220424 has 96 divisors (see below), whose sum is σ = 128665286605440. Its totient is φ = 12501890179200.

The previous prime is 42402244220411. The next prime is 42402244220437.

42402244220424 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 2 + 2 + 4 + 4 + 220 + 424 = 666.

42402244220424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42402244220411) and next prime (42402244220437).

It is a super-2 number, since 2×42402244220424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 723459712 + ... + 723518319.

It is an arithmetic number, because the mean of its divisors is an integer number (1340263402140).

Almost surely, 2^{42402244220424} is an apocalyptic number.

42402244220424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42402244220424 is an abundant number, since it is smaller than the sum of its proper divisors (86263042385016).

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

42402244220424 is a wasteful number, since it uses less digits than its factorization.

42402244220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446978091 (or 1446978084 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 4240224 and 4220424, that added together give a palindrome (8460648).

The spelling of 42402244220424 in words is "forty-two trillion, four hundred two billion, two hundred forty-four million, two hundred twenty thousand, four hundred twenty-four".