450553220821440 has 1120 divisors, whose sum is σ = 1839344041497600. Its totient is φ = 103671096238080.

The previous prime is 450553220821427. The next prime is 450553220821471. The reversal of 450553220821440 is 44128022355054.

450553220821440 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 532 + 20 + 82 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 487378537 + ... + 488302103.

Almost surely, 2^{450553220821440} is an apocalyptic number.

450553220821440 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 450553220821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919672020748800).

450553220821440 is an abundant number, since it is smaller than the sum of its proper divisors (1388790820676160).

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

450553220821440 is a wasteful number, since it uses less digits than its factorization.

450553220821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923695 (or 923676 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 450553220821440 in words is "four hundred fifty trillion, five hundred fifty-three billion, two hundred twenty million, eight hundred twenty-one thousand, four hundred forty".