42433896960 has 960 divisors, whose sum is σ = 186102588672. Its totient is φ = 8695185408.

The previous prime is 42433896949. The next prime is 42433896961. The reversal of 42433896960 is 6969833424.

42433896960 is a `hidden beast` number, since 42 + 433 + 89 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×42433896960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42433896897 and 42433896906.

It is not an unprimeable number, because it can be changed into a prime (42433896961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77575407 + ... + 77575953.

Almost surely, 2^42433896960 is an apocalyptic number.

42433896960 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 42433896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93051294336).

42433896960 is an abundant number, since it is smaller than the sum of its proper divisors (143668691712).

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

42433896960 is a wasteful number, since it uses less digits than its factorization.

42433896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 42433896960 in words is "forty-two billion, four hundred thirty-three million, eight hundred ninety-six thousand, nine hundred sixty".