450123530136240 has 320 divisors, whose sum is σ = 1405156060256256. Its totient is φ = 119194782744576.

The previous prime is 450123530136233. The next prime is 450123530136257. The reversal of 450123530136240 is 42631035321054.

It is a super-2 number, since 2×450123530136240² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101768826669 + ... + 101768831091.

Almost surely, 2^{450123530136240} is an apocalyptic number.

450123530136240 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 450123530136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702578030128128).

450123530136240 is an abundant number, since it is smaller than the sum of its proper divisors (955032530120016).

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

450123530136240 is a wasteful number, since it uses less digits than its factorization.

450123530136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 450123530136240 its reverse (42631035321054), we get a palindrome (492754565457294).

The spelling of 450123530136240 in words is "four hundred fifty trillion, one hundred twenty-three billion, five hundred thirty million, one hundred thirty-six thousand, two hundred forty".