413543355412000 has 384 divisors, whose sum is σ = 1132199842894848. Its totient is φ = 147157830144000.

The previous prime is 413543355411931. The next prime is 413543355412003. The reversal of 413543355412000 is 214553345314.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (413543355412003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20872314094 + ... + 20872333906.

It is an arithmetic number, because the mean of its divisors is an integer number (2948437090872).

Almost surely, 2^{413543355412000} is an apocalyptic number.

413543355412000 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 413543355412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566099921447424).

413543355412000 is an abundant number, since it is smaller than the sum of its proper divisors (718656487482848).

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

413543355412000 is a wasteful number, since it uses less digits than its factorization.

413543355412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29989 (or 29971 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 413543355412000 in words is "four hundred thirteen trillion, five hundred forty-three billion, three hundred fifty-five million, four hundred twelve thousand".