450251542440 has 192 divisors, whose sum is σ = 1672615526400. Its totient is φ = 102899091456.

The previous prime is 450251542421. The next prime is 450251542493. The reversal of 450251542440 is 44245152054.

450251542440 is a `hidden beast` number, since 4 + 50 + 25 + 1 + 542 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450251542395 and 450251542404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29307481 + ... + 29322839.

It is an arithmetic number, because the mean of its divisors is an integer number (8711539200).

Almost surely, 2^450251542440 is an apocalyptic number.

450251542440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450251542440 is an abundant number, since it is smaller than the sum of its proper divisors (1222363983960).

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

450251542440 is a wasteful number, since it uses less digits than its factorization.

450251542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27016 (or 27009 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 450251542440 its reverse (44245152054), we get a palindrome (494496694494).

The spelling of 450251542440 in words is "four hundred fifty billion, two hundred fifty-one million, five hundred forty-two thousand, four hundred forty".