413032033434000 has 320 divisors, whose sum is σ = 1346701933774080. Its totient is φ = 108898059673600.

The previous prime is 413032033433977. The next prime is 413032033434043. The reversal of 413032033434000 is 434330230314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326146024 + ... + 327409976.

It is an arithmetic number, because the mean of its divisors is an integer number (4208443543044).

Almost surely, 2^{413032033434000} is an apocalyptic number.

413032033434000 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 413032033434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673350966887040).

413032033434000 is an abundant number, since it is smaller than the sum of its proper divisors (933669900340080).

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

413032033434000 is a wasteful number, since it uses less digits than its factorization.

413032033434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264595 (or 1264579 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 413032033434000 its reverse (434330230314), we get a palindrome (413466363664314).

The spelling of 413032033434000 in words is "four hundred thirteen trillion, thirty-two billion, thirty-three million, four hundred thirty-four thousand".