450122115040 has 96 divisors (see below), whose sum is σ = 1148072558976. Its totient is φ = 165784166400.

The previous prime is 450122115031. The next prime is 450122115059. The reversal of 450122115040 is 40511221054.

It is a junction number, because it is equal to n+sod(n) for n = 450122114996 and 450122115014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564249 + ... + 1103911.

It is an arithmetic number, because the mean of its divisors is an integer number (11959089156).

Almost surely, 2^450122115040 is an apocalyptic number.

450122115040 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 450122115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574036279488).

450122115040 is an abundant number, since it is smaller than the sum of its proper divisors (697950443936).

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

450122115040 is a wasteful number, since it uses less digits than its factorization.

450122115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540092 (or 540084 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 450122115040 its reverse (40511221054), we get a palindrome (490633336094).

The spelling of 450122115040 in words is "four hundred fifty billion, one hundred twenty-two million, one hundred fifteen thousand, forty".