42304300040 has 64 divisors (see below), whose sum is σ = 98395776000. Its totient is φ = 16352421120.

The previous prime is 42304299971. The next prime is 42304300067. The reversal of 42304300040 is 4000340324.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42304299985 and 42304300021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855101 + ... + 903219.

It is an arithmetic number, because the mean of its divisors is an integer number (1537434000).

Almost surely, 2^42304300040 is an apocalyptic number.

42304300040 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 42304300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49197888000).

42304300040 is an abundant number, since it is smaller than the sum of its proper divisors (56091475960).

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

42304300040 is a wasteful number, since it uses less digits than its factorization.

42304300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48870 (or 48866 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 42304300040 its reverse (4000340324), we get a palindrome (46304640364).

The spelling of 42304300040 in words is "forty-two billion, three hundred four million, three hundred thousand, forty".