433732142425056 has 384 divisors, whose sum is σ = 1262070566055936. Its totient is φ = 129728941056000.

The previous prime is 433732142425009. The next prime is 433732142425063. The reversal of 433732142425056 is 650524241237334.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42344243871 + ... + 42344254113.

It is an arithmetic number, because the mean of its divisors is an integer number (3286642099104).

Almost surely, 2^{433732142425056} is an apocalyptic number.

433732142425056 is a gapful number since it is divisible by the number (46) 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 433732142425056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631035283027968).

433732142425056 is an abundant number, since it is smaller than the sum of its proper divisors (828338423630880).

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

433732142425056 is a wasteful number, since it uses less digits than its factorization.

433732142425056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13894 (or 13886 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 51.

The spelling of 433732142425056 in words is "four hundred thirty-three trillion, seven hundred thirty-two billion, one hundred forty-two million, four hundred twenty-five thousand, fifty-six".