413233000000 has 98 divisors (see below), whose sum is σ = 1025000903258. Its totient is φ = 165292800000.

The previous prime is 413232999929. The next prime is 413233000043. The reversal of 413233000000 is 332314.

It can be written as a sum of positive squares in 7 ways, for example, as 399312775744 + 13920224256 = 631912^2 + 117984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 793384 + ... + 1206616.

Almost surely, 2^413233000000 is an apocalyptic number.

413233000000 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 413233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512500451629).

413233000000 is an abundant number, since it is smaller than the sum of its proper divisors (611767903258).

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

413233000000 is an frugal number, since it uses more digits than its factorization.

413233000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413275 (or 413240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 413233000000 its reverse (332314), we get a palindrome (413233332314).

The spelling of 413233000000 in words is "four hundred thirteen billion, two hundred thirty-three million", and thus it is an aban number.