1428382771200 has 3024 divisors, whose sum is σ = 6833203584480. Its totient is φ = 292626432000.

The previous prime is 1428382771199. The next prime is 1428382771237. The reversal of 1428382771200 is 21772838241.

1428382771200 is a `hidden beast` number, since 1 + 428 + 38 + 2 + 77 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 20118067165 + ... + 20118067235.

It is an arithmetic number, because the mean of its divisors is an integer number (2259657270).

Almost surely, 2^{1428382771200} is an apocalyptic number.

1428382771200 is a gapful number since it is divisible by the number (10) 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 1428382771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416601792240).

1428382771200 is an abundant number, since it is smaller than the sum of its proper divisors (5404820813280).

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

1428382771200 is an equidigital number, since it uses as much as digits as its factorization.

1428382771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1428382771200 in words is "one trillion, four hundred twenty-eight billion, three hundred eighty-two million, seven hundred seventy-one thousand, two hundred".