4556516198400 has 720 divisors, whose sum is σ = 17007219749520. Its totient is φ = 1205651865600.

The previous prime is 4556516198281. The next prime is 4556516198449. The reversal of 4556516198400 is 48916156554.

It is a happy number.

4556516198400 is a `hidden beast` number, since 4 + 556 + 5 + 1 + 6 + 1 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 543279007 + ... + 543287393.

It is an arithmetic number, because the mean of its divisors is an integer number (23621138541).

Almost surely, 2^{4556516198400} is an apocalyptic number.

4556516198400 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 4556516198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503609874760).

4556516198400 is an abundant number, since it is smaller than the sum of its proper divisors (12450703551120).

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

4556516198400 is a wasteful number, since it uses less digits than its factorization.

4556516198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8562 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 4556516198400 in words is "four trillion, five hundred fifty-six billion, five hundred sixteen million, one hundred ninety-eight thousand, four hundred".