42401024 has 36 divisors (see below), whose sum is σ = 85633380. Its totient is φ = 20951040.

The previous prime is 42400991. The next prime is 42401033. The reversal of 42401024 is 42010424.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 39942400 = 1568^2 + 6320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42400993 and 42401011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21854 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (2378705).

Almost surely, 2^42401024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42816690).

42401024 is an abundant number, since it is smaller than the sum of its proper divisors (43232356).

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

42401024 is an equidigital number, since it uses as much as digits as its factorization.

42401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42401024 is about 6511.6068677401. The cubic root of 42401024 is about 348.7054873967.

Adding to 42401024 its reverse (42010424), we get a palindrome (84411448).

The spelling of 42401024 in words is "forty-two million, four hundred one thousand, twenty-four".