42021921393 has 40 divisors (see below), whose sum is σ = 66492606312. Its totient is φ = 26356161024.

The previous prime is 42021921371. The next prime is 42021921401. The reversal of 42021921393 is 39312912024.

42021921393 is a `hidden beast` number, since 420 + 2 + 19 + 213 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17771022864 + 24250898529 = 133308^2 + 155727^2 .

It is not a de Polignac number, because 42021921393 - 2¹² = 42021917297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42021921343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4838571 + ... + 4847247.

Almost surely, 2^42021921393 is an apocalyptic number.

It is an amenable number.

42021921393 is a deficient number, since it is larger than the sum of its proper divisors (24470684919).

42021921393 is a wasteful number, since it uses less digits than its factorization.

42021921393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 42021921393 in words is "forty-two billion, twenty-one million, nine hundred twenty-one thousand, three hundred ninety-three".