4455112771200 has 2304 divisors, whose sum is σ = 19301244641280. Its totient is φ = 894136320000.

The previous prime is 4455112771199. The next prime is 4455112771201. The reversal of 4455112771200 is 21772115544.

It is an interprime number because it is at equal distance from previous prime (4455112771199) and next prime (4455112771201).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4455112771201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13459555035 + ... + 13459555365.

It is an arithmetic number, because the mean of its divisors is an integer number (8377276320).

Almost surely, 2^{4455112771200} is an apocalyptic number.

4455112771200 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 4455112771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650622320640).

4455112771200 is an abundant number, since it is smaller than the sum of its proper divisors (14846131870080).

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

4455112771200 is a wasteful number, since it uses less digits than its factorization.

4455112771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

Adding to 4455112771200 its reverse (21772115544), we get a palindrome (4476884886744).

The spelling of 4455112771200 in words is "four trillion, four hundred fifty-five billion, one hundred twelve million, seven hundred seventy-one thousand, two hundred".