413435021300000 has 576 divisors, whose sum is σ = 1196741333652480. Its totient is φ = 137659392000000.

The previous prime is 413435021299969. The next prime is 413435021300017. The reversal of 413435021300000 is 3120534314.

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, 3373238720 + ... + 3373361280.

It is an arithmetic number, because the mean of its divisors is an integer number (2077675926480).

Almost surely, 2^{413435021300000} is an apocalyptic number.

413435021300000 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 413435021300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598370666826240).

413435021300000 is an abundant number, since it is smaller than the sum of its proper divisors (783306312352480).

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

413435021300000 is an equidigital number, since it uses as much as digits as its factorization.

413435021300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122743 (or 122715 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 413435021300000 its reverse (3120534314), we get a palindrome (413438141834314).

The spelling of 413435021300000 in words is "four hundred thirteen trillion, four hundred thirty-five billion, twenty-one million, three hundred thousand".