42021000413 has 24 divisors (see below), whose sum is σ = 49598208000. Its totient is φ = 35493782688.

The previous prime is 42021000349. The next prime is 42021000431. The reversal of 42021000413 is 31400012024.

42021000413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42021000413 - 2⁶ = 42021000349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42021000391 and 42021000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904568 + ... + 949886.

It is an arithmetic number, because the mean of its divisors is an integer number (2066592000).

Almost surely, 2^42021000413 is an apocalyptic number.

It is an amenable number.

42021000413 is a deficient number, since it is larger than the sum of its proper divisors (7577207587).

42021000413 is a wasteful number, since it uses less digits than its factorization.

42021000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45609 (or 45602 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 42021000413 its reverse (31400012024), we get a palindrome (73421012437).

The spelling of 42021000413 in words is "forty-two billion, twenty-one million, four hundred thirteen", and thus it is an aban number.