433085517135040 has 224 divisors, whose sum is σ = 1294387039872000. Its totient is φ = 134081734840320.

The previous prime is 433085517135013. The next prime is 433085517135043. The reversal of 433085517135040 is 40531715580334.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (433085517135043) 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, 55310260 + ... + 62652979.

Almost surely, 2^{433085517135040} is an apocalyptic number.

433085517135040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433085517135040 is an abundant number, since it is smaller than the sum of its proper divisors (861301522736960).

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

433085517135040 is a wasteful number, since it uses less digits than its factorization.

433085517135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117963423 (or 117963413 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 433085517135040 in words is "four hundred thirty-three trillion, eighty-five billion, five hundred seventeen million, one hundred thirty-five thousand, forty".