42020367440 has 80 divisors (see below), whose sum is σ = 104606853840. Its totient is φ = 15641640960.

The previous prime is 42020367401. The next prime is 42020367479. The reversal of 42020367440 is 4476302024.

It is an interprime number because it is at equal distance from previous prime (42020367401) and next prime (42020367479).

It can be written as a sum of positive squares in 8 ways, for example, as 47831056 + 41972536384 = 6916^2 + 204872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42020367440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42020367397 and 42020367406.

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, 52541 + ... + 294620.

It is an arithmetic number, because the mean of its divisors is an integer number (1307585673).

Almost surely, 2^42020367440 is an apocalyptic number.

42020367440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42020367440 is an abundant number, since it is smaller than the sum of its proper divisors (62586486400).

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

42020367440 is a wasteful number, since it uses less digits than its factorization.

42020367440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347280 (or 347274 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

Adding to 42020367440 its reverse (4476302024), we get a palindrome (46496669464).

The spelling of 42020367440 in words is "forty-two billion, twenty million, three hundred sixty-seven thousand, four hundred forty".