42020627102640 has 80 divisors (see below), whose sum is σ = 144737715583200. Its totient is φ = 11205500560128.

The previous prime is 42020627102621. The next prime is 42020627102653. The reversal of 42020627102640 is 4620172602024.

42020627102640 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 0 + 6 + 2 + 7 + 1 + 0 + 2 + 640 = 666.

42020627102640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42020627102595 and 42020627102604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9726994855 + ... + 9726999174.

It is an arithmetic number, because the mean of its divisors is an integer number (1809221444790).

Almost surely, 2^{42020627102640} is an apocalyptic number.

42020627102640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42020627102640 is an abundant number, since it is smaller than the sum of its proper divisors (102717088480560).

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

42020627102640 is a wasteful number, since it uses less digits than its factorization.

42020627102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19453994051 (or 19453994039 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 42020627102640 its reverse (4620172602024), we get a palindrome (46640799704664).

The spelling of 42020627102640 in words is "forty-two trillion, twenty billion, six hundred twenty-seven million, one hundred two thousand, six hundred forty".