450725898335440 has 320 divisors, whose sum is σ = 1311817345316352. Its totient is φ = 140212071014400.

The previous prime is 450725898335411. The next prime is 450725898335467. The reversal of 450725898335440 is 44533898527054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644898975 + ... + 645597505.

Almost surely, 2^{450725898335440} is an apocalyptic number.

450725898335440 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 450725898335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655908672658176).

450725898335440 is an abundant number, since it is smaller than the sum of its proper divisors (861091446980912).

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

450725898335440 is a wasteful number, since it uses less digits than its factorization.

450725898335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700078 (or 700072 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 67.

The spelling of 450725898335440 in words is "four hundred fifty trillion, seven hundred twenty-five billion, eight hundred ninety-eight million, three hundred thirty-five thousand, four hundred forty".