413021010024 has 384 divisors, whose sum is σ = 1379729894400. Its totient is φ = 108977218560.

The previous prime is 413021010019. The next prime is 413021010049. The reversal of 413021010024 is 420010120314.

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 = 413021009979 and 413021010006.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 399826212 + ... + 399827244.

It is an arithmetic number, because the mean of its divisors is an integer number (3593046600).

Almost surely, 2^413021010024 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 413021010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689864947200).

413021010024 is an abundant number, since it is smaller than the sum of its proper divisors (966708884376).

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

413021010024 is a wasteful number, since it uses less digits than its factorization.

413021010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2078 counting only the distinct ones).

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

Adding to 413021010024 its reverse (420010120314), we get a palindrome (833031130338).

The spelling of 413021010024 in words is "four hundred thirteen billion, twenty-one million, ten thousand, twenty-four".