413245327680 has 672 divisors, whose sum is σ = 1539006303744. Its totient is φ = 101500895232.

The previous prime is 413245327639. The next prime is 413245327687. The reversal of 413245327680 is 86723542314.

413245327680 is a `hidden beast` number, since 4 + 1 + 3 + 245 + 327 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413245327687) 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, 252439822 + ... + 252441458.

It is an arithmetic number, because the mean of its divisors is an integer number (2290187952).

Almost surely, 2^413245327680 is an apocalyptic number.

413245327680 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 413245327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769503151872).

413245327680 is an abundant number, since it is smaller than the sum of its proper divisors (1125760976064).

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

413245327680 is a wasteful number, since it uses less digits than its factorization.

413245327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 413245327680 its reverse (86723542314), we get a palindrome (499968869994).

The spelling of 413245327680 in words is "four hundred thirteen billion, two hundred forty-five million, three hundred twenty-seven thousand, six hundred eighty".