433406254416640 has 288 divisors, whose sum is σ = 1125852237639360. Its totient is φ = 159254773235712.

The previous prime is 433406254416601. The next prime is 433406254416643. The reversal of 433406254416640 is 46614452604334.

It is a happy number.

It is a super-2 number, since 2×433406254416640² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (433406254416643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157549624 + ... + 160276936.

It is an arithmetic number, because the mean of its divisors is an integer number (3909209158470).

Almost surely, 2^{433406254416640} is an apocalyptic number.

433406254416640 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 433406254416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562926118819680).

433406254416640 is an abundant number, since it is smaller than the sum of its proper divisors (692445983222720).

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

433406254416640 is a wasteful number, since it uses less digits than its factorization.

433406254416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727527 (or 2727513 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 52.

The spelling of 433406254416640 in words is "four hundred thirty-three trillion, four hundred six billion, two hundred fifty-four million, four hundred sixteen thousand, six hundred forty".