450433012140405 has 192 divisors, whose sum is σ = 937101215232000. Its totient is φ = 199981998437760.

The previous prime is 450433012140403. The next prime is 450433012140409. The reversal of 450433012140405 is 504041210334054.

450433012140405 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 3 + 30 + 1 + 214 + 0 + 405 = 666.

It is not a de Polignac number, because 450433012140405 - 2¹ = 450433012140403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 450433012140405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450433012140403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70356966 + ... + 76491624.

It is an arithmetic number, because the mean of its divisors is an integer number (4880735496000).

Almost surely, 2^{450433012140405} is an apocalyptic number.

450433012140405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450433012140405 is an abundant number, since it is smaller than the sum of its proper divisors (486668203091595).

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

450433012140405 is a wasteful number, since it uses less digits than its factorization.

450433012140405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134829 (or 6134812 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 450433012140405 its reverse (504041210334054), we get a palindrome (954474222474459).

The spelling of 450433012140405 in words is "four hundred fifty trillion, four hundred thirty-three billion, twelve million, one hundred forty thousand, four hundred five".