450122544000 has 768 divisors, whose sum is σ = 1650082037760. Its totient is φ = 117573120000.

The previous prime is 450122543963. The next prime is 450122544007. The reversal of 450122544000 is 445221054.

450122544000 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 2 + 254 + 400 + 0 = 666.

It is a super-2 number, since 2×450122544000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450122544007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2761487919 + ... + 2761488081.

It is an arithmetic number, because the mean of its divisors is an integer number (2148544320).

Almost surely, 2^450122544000 is an apocalyptic number.

450122544000 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 450122544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825041018880).

450122544000 is an abundant number, since it is smaller than the sum of its proper divisors (1199959493760).

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

450122544000 is a wasteful number, since it uses less digits than its factorization.

450122544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 450122544000 its reverse (445221054), we get a palindrome (450567765054).

The spelling of 450122544000 in words is "four hundred fifty billion, one hundred twenty-two million, five hundred forty-four thousand".