413143321374000 has 1920 divisors, whose sum is σ = 1735904890976256. Its totient is φ = 89625553920000.

The previous prime is 413143321373977. The next prime is 413143321374001. The reversal of 413143321374000 is 473123341314.

413143321374000 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 33 + 213 + 7 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413143321374001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27431326470 + ... + 27431341530.

Almost surely, 2^{413143321374000} is an apocalyptic number.

413143321374000 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 413143321374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867952445488128).

413143321374000 is an abundant number, since it is smaller than the sum of its proper divisors (1322761569602256).

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

413143321374000 is a wasteful number, since it uses less digits than its factorization.

413143321374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284 (or 15265 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 413143321374000 in words is "four hundred thirteen trillion, one hundred forty-three billion, three hundred twenty-one million, three hundred seventy-four thousand".