450140016916128 has 576 divisors, whose sum is σ = 1552437631987200. Its totient is φ = 112797640488960.

The previous prime is 450140016916087. The next prime is 450140016916133. The reversal of 450140016916128 is 821619610041054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1889106051 + ... + 1889344317.

It is an arithmetic number, because the mean of its divisors is an integer number (2695204222200).

Almost surely, 2^{450140016916128} is an apocalyptic number.

450140016916128 is a gapful number since it is divisible by the number (48) 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 450140016916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776218815993600).

450140016916128 is an abundant number, since it is smaller than the sum of its proper divisors (1102297615071072).

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

450140016916128 is a wasteful number, since it uses less digits than its factorization.

450140016916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239593 (or 239578 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 450140016916128 in words is "four hundred fifty trillion, one hundred forty billion, sixteen million, nine hundred sixteen thousand, one hundred twenty-eight".