42024201140 has 96 divisors (see below), whose sum is σ = 99555160320. Its totient is φ = 14820765696.

The previous prime is 42024201137. The next prime is 42024201143. The reversal of 42024201140 is 4110242024.

It is an interprime number because it is at equal distance from previous prime (42024201137) and next prime (42024201143).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024201143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258404 + ... + 388356.

It is an arithmetic number, because the mean of its divisors is an integer number (1037032920).

Almost surely, 2^42024201140 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 42024201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49777580160).

42024201140 is an abundant number, since it is smaller than the sum of its proper divisors (57530959180).

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

42024201140 is a wasteful number, since it uses less digits than its factorization.

42024201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130041 (or 130039 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42024201140 its reverse (4110242024), we get a palindrome (46134443164).

The spelling of 42024201140 in words is "forty-two billion, twenty-four million, two hundred one thousand, one hundred forty".