454441234441000 has 32 divisors (see below), whose sum is σ = 1063392488594280. Its totient is φ = 181776493776000.

The previous prime is 454441234440959. The next prime is 454441234441001. The reversal of 454441234441000 is 144432144454.

It can be written as a sum of positive squares in 4 ways, for example, as 279776939653156 + 174664294787844 = 16726534^2 + 13216062^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (454441234441001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227220616221 + ... + 227220618220.

Almost surely, 2^{454441234441000} is an apocalyptic number.

454441234441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454441234441000 is an abundant number, since it is smaller than the sum of its proper divisors (608951254153280).

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

454441234441000 is a wasteful number, since it uses less digits than its factorization.

454441234441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454441234462 (or 454441234448 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 454441234441000 its reverse (144432144454), we get a palindrome (454585666585454).

The spelling of 454441234441000 in words is "four hundred fifty-four trillion, four hundred forty-one billion, two hundred thirty-four million, four hundred forty-one thousand".