413311122000 has 480 divisors, whose sum is σ = 1658254650624. Its totient is φ = 93985920000.

The previous prime is 413311121987. The next prime is 413311122011. The reversal of 413311122000 is 221113314.

413311122000 is a `hidden beast` number, since 413 + 31 + 1 + 1 + 220 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24813675 + ... + 24830325.

Almost surely, 2^413311122000 is an apocalyptic number.

413311122000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413311122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829127325312).

413311122000 is an abundant number, since it is smaller than the sum of its proper divisors (1244943528624).

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

413311122000 is a wasteful number, since it uses less digits than its factorization.

413311122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16884 (or 16865 counting only the distinct ones).

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

Adding to 413311122000 its reverse (221113314), we get a palindrome (413532235314).

The spelling of 413311122000 in words is "four hundred thirteen billion, three hundred eleven million, one hundred twenty-two thousand".