42220120300040 has 32 divisors (see below), whose sum is σ = 95001045891480. Its totient is φ = 16887021414912.

The previous prime is 42220120300031. The next prime is 42220120300081. The reversal of 42220120300040 is 4000302102224.

It can be written as a sum of positive squares in 4 ways, for example, as 36913814554276 + 5306305745764 = 6075674^2 + 2303542^2 .

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 = 42220120299985 and 42220120300021.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31418189 + ... + 32734428.

Almost surely, 2^{42220120300040} is an apocalyptic number.

42220120300040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42220120300040 is an abundant number, since it is smaller than the sum of its proper divisors (52780925591440).

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

42220120300040 is a wasteful number, since it uses less digits than its factorization.

42220120300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64169081 (or 64169077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42220120300040 its reverse (4000302102224), we get a palindrome (46220422402264).

The spelling of 42220120300040 in words is "forty-two trillion, two hundred twenty billion, one hundred twenty million, three hundred thousand, forty".