42400330240 has 40 divisors (see below), whose sum is σ = 101661422940. Its totient is φ = 16960131072.

The previous prime is 42400330223. The next prime is 42400330253. The reversal of 42400330240 is 4203300424.

It can be written as a sum of positive squares in 2 ways, for example, as 42396457216 + 3873024 = 205904^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42400330240² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8278755 + ... + 8283874.

Almost surely, 2^42400330240 is an apocalyptic number.

42400330240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42400330240 is an abundant number, since it is smaller than the sum of its proper divisors (59261092700).

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

42400330240 is an equidigital number, since it uses as much as digits as its factorization.

42400330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16562652 (or 16562636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42400330240 its reverse (4203300424), we get a palindrome (46603630664).

The spelling of 42400330240 in words is "forty-two billion, four hundred million, three hundred thirty thousand, two hundred forty".