450775079040 has 2304 divisors, whose sum is σ = 1980447667200. Its totient is φ = 86031728640.

The previous prime is 450775079033. The next prime is 450775079071. The reversal of 450775079040 is 40970577054.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 19598916469 + ... + 19598916491.

It is an arithmetic number, because the mean of its divisors is an integer number (859569300).

Almost surely, 2^450775079040 is an apocalyptic number.

450775079040 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 450775079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990223833600).

450775079040 is an abundant number, since it is smaller than the sum of its proper divisors (1529672588160).

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

450775079040 is a wasteful number, since it uses less digits than its factorization.

450775079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 450775079040 in words is "four hundred fifty billion, seven hundred seventy-five million, seventy-nine thousand, forty".