413021010420 has 72 divisors (see below), whose sum is σ = 1299231539424. Its totient is φ = 110138934816.

The previous prime is 413021010377. The next prime is 413021010427. The reversal of 413021010420 is 24010120314.

413021010420 is a `hidden beast` number, since 4 + 1 + 30 + 210 + 1 + 0 + 420 = 666.

413021010420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413021010393 and 413021010402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413021010427) 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, 42487014 + ... + 42496733.

It is an arithmetic number, because the mean of its divisors is an integer number (18044882492).

Almost surely, 2^413021010420 is an apocalyptic number.

It is an amenable number.

413021010420 is an abundant number, since it is smaller than the sum of its proper divisors (886210529004).

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

413021010420 is a wasteful number, since it uses less digits than its factorization.

413021010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84983771 (or 84983757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 413021010420 its reverse (24010120314), we get a palindrome (437031130734).

The spelling of 413021010420 in words is "four hundred thirteen billion, twenty-one million, ten thousand, four hundred twenty".