413055323040000 has 360 divisors, whose sum is σ = 1374508623470752. Its totient is φ = 110085027840000.

The previous prime is 413055323039981. The next prime is 413055323040001. The reversal of 413055323040000 is 40323550314.

It is a super-2 number, since 2×413055323040000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 413055323040000.

It is not an unprimeable number, because it can be changed into a prime (413055323040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 841194555 + ... + 841685445.

Almost surely, 2^{413055323040000} is an apocalyptic number.

413055323040000 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 413055323040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687254311735376).

413055323040000 is an abundant number, since it is smaller than the sum of its proper divisors (961453300430752).

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

413055323040000 is an equidigital number, since it uses as much as digits as its factorization.

413055323040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492683 (or 492654 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 413055323040000 its reverse (40323550314), we get a palindrome (413095646590314).

The spelling of 413055323040000 in words is "four hundred thirteen trillion, fifty-five billion, three hundred twenty-three million, forty thousand".