413021122020 has 144 divisors (see below), whose sum is σ = 1349687167920. Its totient is φ = 101630204928.

The previous prime is 413021121983. The next prime is 413021122049. The reversal of 413021122020 is 20221120314.

It is a happy number.

413021122020 is a `hidden beast` number, since 413 + 0 + 2 + 11 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65949321636 + 347071800384 = 256806^2 + 589128^2 .

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 = 413021121984 and 413021122002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6795526 + ... + 6856034.

It is an arithmetic number, because the mean of its divisors is an integer number (9372827555).

Almost surely, 2^413021122020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413021122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674843583960).

413021122020 is an abundant number, since it is smaller than the sum of its proper divisors (936666045900).

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

413021122020 is a wasteful number, since it uses less digits than its factorization.

413021122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63454 (or 63449 counting only the distinct ones).

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

Adding to 413021122020 its reverse (20221120314), we get a palindrome (433242242334).

The spelling of 413021122020 in words is "four hundred thirteen billion, twenty-one million, one hundred twenty-two thousand, twenty".