454413440221344 has 144 divisors (see below), whose sum is σ = 1314455382152640. Its totient is φ = 148868167403520.

The previous prime is 454413440221313. The next prime is 454413440221373. The reversal of 454413440221344 is 443122044314454.

454413440221344 is a `hidden beast` number, since 4 + 5 + 4 + 41 + 3 + 4 + 40 + 221 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 454413440221344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67774389 + ... + 74176779.

It is an arithmetic number, because the mean of its divisors is an integer number (9128162376060).

Almost surely, 2^{454413440221344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454413440221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657227691076320).

454413440221344 is an abundant number, since it is smaller than the sum of its proper divisors (860041941931296).

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

454413440221344 is a wasteful number, since it uses less digits than its factorization.

454413440221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406643 (or 6406632 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

Adding to 454413440221344 its reverse (443122044314454), we get a palindrome (897535484535798).

The spelling of 454413440221344 in words is "four hundred fifty-four trillion, four hundred thirteen billion, four hundred forty million, two hundred twenty-one thousand, three hundred forty-four".