433980106560 has 2688 divisors, whose sum is σ = 2185079500800. Its totient is φ = 78292500480.

The previous prime is 433980106559. The next prime is 433980106577. The reversal of 433980106560 is 65601089334.

433980106560 is a `hidden beast` number, since 4 + 3 + 3 + 9 + 80 + 1 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3122158971 + ... + 3122159109.

It is an arithmetic number, because the mean of its divisors is an integer number (812901600).

Almost surely, 2^433980106560 is an apocalyptic number.

433980106560 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 433980106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092539750400).

433980106560 is an abundant number, since it is smaller than the sum of its proper divisors (1751099394240).

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

433980106560 is a wasteful number, since it uses less digits than its factorization.

433980106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 433980106560 in words is "four hundred thirty-three billion, nine hundred eighty million, one hundred six thousand, five hundred sixty".