4575217996800 has 4224 divisors, whose sum is σ = 21579847372800. Its totient is φ = 945959731200.

The previous prime is 4575217996763. The next prime is 4575217996801. The reversal of 4575217996800 is 86997125754.

4575217996800 is a `hidden beast` number, since 45 + 7 + 521 + 7 + 9 + 9 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575217996801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 198922521589 + ... + 198922521611.

Almost surely, 2^{4575217996800} is an apocalyptic number.

4575217996800 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 4575217996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789923686400).

4575217996800 is an abundant number, since it is smaller than the sum of its proper divisors (17004629376000).

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

4575217996800 is a wasteful number, since it uses less digits than its factorization.

4575217996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 4575217996800 in words is "four trillion, five hundred seventy-five billion, two hundred seventeen million, nine hundred ninety-six thousand, eight hundred".