454116579840 has 480 divisors, whose sum is σ = 1960818178176. Its totient is φ = 94361518080.

The previous prime is 454116579811. The next prime is 454116579841. The reversal of 454116579840 is 48975611454.

454116579840 is a `hidden beast` number, since 4 + 54 + 1 + 16 + 579 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (454116579841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646094 + ... + 1902066.

Almost surely, 2^454116579840 is an apocalyptic number.

454116579840 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 454116579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980409089088).

454116579840 is an abundant number, since it is smaller than the sum of its proper divisors (1506701598336).

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

454116579840 is a wasteful number, since it uses less digits than its factorization.

454116579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256020 (or 256001 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 454116579840 in words is "four hundred fifty-four billion, one hundred sixteen million, five hundred seventy-nine thousand, eight hundred forty".