42424420040 has 64 divisors (see below), whose sum is σ = 101180242800. Its totient is φ = 15954116608.

The previous prime is 42424420021. The next prime is 42424420061. The reversal of 42424420040 is 4002442424.

It can be written as a sum of positive squares in 8 ways, for example, as 2330765284 + 40093654756 = 48278^2 + 200234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42424419991 and 42424420009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598142 + ... + 665298.

Almost surely, 2^42424420040 is an apocalyptic number.

42424420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42424420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50590121400).

42424420040 is an abundant number, since it is smaller than the sum of its proper divisors (58755822760).

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

42424420040 is a wasteful number, since it uses less digits than its factorization.

42424420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68114 (or 68110 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42424420040 its reverse (4002442424), we get a palindrome (46426862464).

The spelling of 42424420040 in words is "forty-two billion, four hundred twenty-four million, four hundred twenty thousand, forty".