413011031220 has 240 divisors, whose sum is σ = 1312055635968. Its totient is φ = 108748776960.

The previous prime is 413011031179. The next prime is 413011031233. The reversal of 413011031220 is 22130110314.

413011031220 is a `hidden beast` number, since 41 + 301 + 10 + 312 + 2 + 0 = 666.

It is a super-2 number, since 2×413011031220² (a number of 24 digits) contains 22 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 = 413011031193 and 413011031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42385669 + ... + 42395411.

Almost surely, 2^413011031220 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 413011031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656027817984).

413011031220 is an abundant number, since it is smaller than the sum of its proper divisors (899044604748).

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

413011031220 is a wasteful number, since it uses less digits than its factorization.

413011031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 413011031220 its reverse (22130110314), we get a palindrome (435141141534).

The spelling of 413011031220 in words is "four hundred thirteen billion, eleven million, thirty-one thousand, two hundred twenty".