4563417004160 has 256 divisors, whose sum is σ = 13212431769600. Its totient is φ = 1473801584640.

The previous prime is 4563417004151. The next prime is 4563417004183. The reversal of 4563417004160 is 614007143654.

It is a super-3 number, since 3×4563417004160³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4898369 + ... + 5755071.

It is an arithmetic number, because the mean of its divisors is an integer number (51611061600).

Almost surely, 2^{4563417004160} is an apocalyptic number.

4563417004160 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 4563417004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606215884800).

4563417004160 is an abundant number, since it is smaller than the sum of its proper divisors (8649014765440).

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

4563417004160 is a wasteful number, since it uses less digits than its factorization.

4563417004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856799 (or 856787 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 4563417004160 in words is "four trillion, five hundred sixty-three billion, four hundred seventeen million, four thousand, one hundred sixty".