433414431024072 has 32 divisors (see below), whose sum is σ = 1101298964081280. Its totient is φ = 142103092138560.

The previous prime is 433414431024061. The next prime is 433414431024073. The reversal of 433414431024072 is 270420134414334.

It is a super-2 number, since 2×433414431024072² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (433414431024073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148024052848 + ... + 148024055775.

It is an arithmetic number, because the mean of its divisors is an integer number (34415592627540).

Almost surely, 2^{433414431024072} is an apocalyptic number.

It is an amenable number.

433414431024072 is an abundant number, since it is smaller than the sum of its proper divisors (667884533057208).

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

433414431024072 is a wasteful number, since it uses less digits than its factorization.

433414431024072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296048108693 (or 296048108689 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 433414431024072 in words is "four hundred thirty-three trillion, four hundred fourteen billion, four hundred thirty-one million, twenty-four thousand, seventy-two".