413531300000 has 576 divisors, whose sum is σ = 1296457021440. Its totient is φ = 126282240000.

The previous prime is 413531299999. The next prime is 413531300003. The reversal of 413531300000 is 3135314.

It is a happy number.

It is a super-3 number, since 3×413531300000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (413531300003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263899217 + ... + 263900783.

It is an arithmetic number, because the mean of its divisors is an integer number (2250793440).

Almost surely, 2^413531300000 is an apocalyptic number.

413531300000 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 413531300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648228510720).

413531300000 is an abundant number, since it is smaller than the sum of its proper divisors (882925721440).

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

413531300000 is a wasteful number, since it uses less digits than its factorization.

413531300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 413531300000 its reverse (3135314), we get a palindrome (413534435314).

The spelling of 413531300000 in words is "four hundred thirteen billion, five hundred thirty-one million, three hundred thousand".