413323320300000 has 576 divisors, whose sum is σ = 1480669106611968. Its totient is φ = 100114649600000.

The previous prime is 413323320299987. The next prime is 413323320300001. The reversal of 413323320300000 is 3023323314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413323320300001) 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, 3936847507 + ... + 3936952493.

It is an arithmetic number, because the mean of its divisors is an integer number (2570606087868).

Almost surely, 2^{413323320300000} is an apocalyptic number.

413323320300000 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 413323320300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740334553305984).

413323320300000 is an abundant number, since it is smaller than the sum of its proper divisors (1067345786311968).

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

413323320300000 is a wasteful number, since it uses less digits than its factorization.

413323320300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106229 (or 106201 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 413323320300000 its reverse (3023323314), we get a palindrome (413326343623314).

The spelling of 413323320300000 in words is "four hundred thirteen trillion, three hundred twenty-three billion, three hundred twenty million, three hundred thousand".