42066130640 has 40 divisors (see below), whose sum is σ = 97891521000. Its totient is φ = 16811352576.

The previous prime is 42066130627. The next prime is 42066130649. The reversal of 42066130640 is 4603166024.

42066130640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4117532224 + 37948598416 = 64168^2 + 194804^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42066130597 and 42066130606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42066130649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146015 + ... + 324734.

It is an arithmetic number, because the mean of its divisors is an integer number (2447288025).

Almost surely, 2^42066130640 is an apocalyptic number.

42066130640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42066130640 is an abundant number, since it is smaller than the sum of its proper divisors (55825390360).

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

42066130640 is a wasteful number, since it uses less digits than its factorization.

42066130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471879 (or 471873 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 42066130640 its reverse (4603166024), we get a palindrome (46669296664).

The spelling of 42066130640 in words is "forty-two billion, sixty-six million, one hundred thirty thousand, six hundred forty".