42630090240 has 160 divisors (see below), whose sum is σ = 143456353920. Its totient is φ = 10769670144.

The previous prime is 42630090229. The next prime is 42630090253. The reversal of 42630090240 is 4209003624.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42630090198 and 42630090207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154 + ... + 291993.

It is an arithmetic number, because the mean of its divisors is an integer number (896602212).

Almost surely, 2^42630090240 is an apocalyptic number.

42630090240 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 42630090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71728176960).

42630090240 is an abundant number, since it is smaller than the sum of its proper divisors (100826263680).

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

42630090240 is a wasteful number, since it uses less digits than its factorization.

42630090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292192 (or 292176 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 42630090240 its reverse (4209003624), we get a palindrome (46839093864).

The spelling of 42630090240 in words is "forty-two billion, six hundred thirty million, ninety thousand, two hundred forty".