413020301200 has 240 divisors, whose sum is σ = 1116819768960. Its totient is φ = 145640816640.

The previous prime is 413020301171. The next prime is 413020301219. The reversal of 413020301200 is 2103020314.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 88382064 + ... + 88386736.

It is an arithmetic number, because the mean of its divisors is an integer number (4653415704).

Almost surely, 2^413020301200 is an apocalyptic number.

413020301200 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 413020301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558409884480).

413020301200 is an abundant number, since it is smaller than the sum of its proper divisors (703799467760).

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

413020301200 is a wasteful number, since it uses less digits than its factorization.

413020301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 413020301200 its reverse (2103020314), we get a palindrome (415123321514).

The spelling of 413020301200 in words is "four hundred thirteen billion, twenty million, three hundred one thousand, two hundred".