433501442414068 has 144 divisors (see below), whose sum is σ = 924197667886080. Its totient is φ = 177181291123200.

The previous prime is 433501442413931. The next prime is 433501442414069. The reversal of 433501442414068 is 860414244105334.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433501442414069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964808248 + ... + 965257456.

It is an arithmetic number, because the mean of its divisors is an integer number (6418039360320).

Almost surely, 2^{433501442414068} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433501442414068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462098833943040).

433501442414068 is an abundant number, since it is smaller than the sum of its proper divisors (490696225472012).

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

433501442414068 is a wasteful number, since it uses less digits than its factorization.

433501442414068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451566 (or 451557 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 433501442414068 in words is "four hundred thirty-three trillion, five hundred one billion, four hundred forty-two million, four hundred fourteen thousand, sixty-eight".