450404542884440 has 128 divisors (see below), whose sum is σ = 1036672369920000. Its totient is φ = 176038986321408.

The previous prime is 450404542884433. The next prime is 450404542884481. The reversal of 450404542884440 is 44488245404054.

It is a super-2 number, since 2×450404542884440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12814131986 + ... + 12814167134.

It is an arithmetic number, because the mean of its divisors is an integer number (8099002890000).

Almost surely, 2^{450404542884440} is an apocalyptic number.

450404542884440 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 450404542884440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518336184960000).

450404542884440 is an abundant number, since it is smaller than the sum of its proper divisors (586267827035560).

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

450404542884440 is a wasteful number, since it uses less digits than its factorization.

450404542884440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46209 (or 46205 counting only the distinct ones).

The product of its (nonzero) digits is 52428800, while the sum is 56.

The spelling of 450404542884440 in words is "four hundred fifty trillion, four hundred four billion, five hundred forty-two million, eight hundred eighty-four thousand, four hundred forty".