413726208000 has 1248 divisors, whose sum is σ = 1678103930880. Its totient is φ = 90075955200.

The previous prime is 413726207987. The next prime is 413726208097. The reversal of 413726208000 is 802627314.

It is a congruent number.

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, 1731071881 + ... + 1731072119.

It is an arithmetic number, because the mean of its divisors is an integer number (1344634560).

Almost surely, 2^413726208000 is an apocalyptic number.

413726208000 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 413726208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839051965440).

413726208000 is an abundant number, since it is smaller than the sum of its proper divisors (1264377722880).

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

413726208000 is a wasteful number, since it uses less digits than its factorization.

413726208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 413726208000 in words is "four hundred thirteen billion, seven hundred twenty-six million, two hundred eight thousand".