413011024020 has 144 divisors (see below), whose sum is σ = 1439040290688. Its totient is φ = 93923262720.

The previous prime is 413011024007. The next prime is 413011024037. The reversal of 413011024020 is 20420110314.

413011024020 is a `hidden beast` number, since 413 + 0 + 1 + 10 + 240 + 2 + 0 = 666.

It is a super-3 number, since 3×413011024020³ (a number of 36 digits) contains 333 as substring.

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 = 413011023984 and 413011024002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583726 + ... + 1080165.

It is an arithmetic number, because the mean of its divisors is an integer number (9993335352).

Almost surely, 2^413011024020 is an apocalyptic number.

It is an amenable number.

413011024020 is an abundant number, since it is smaller than the sum of its proper divisors (1026029266668).

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

413011024020 is a wasteful number, since it uses less digits than its factorization.

413011024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664110 (or 1664105 counting only the distinct ones).

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

Adding to 413011024020 its reverse (20420110314), we get a palindrome (433431134334).

The spelling of 413011024020 in words is "four hundred thirteen billion, eleven million, twenty-four thousand, twenty".