1428339147840 has 1008 divisors, whose sum is σ = 5809502874240. Its totient is φ = 331085905920.

The previous prime is 1428339147821. The next prime is 1428339147847. The reversal of 1428339147840 is 487419338241.

1428339147840 is a `hidden beast` number, since 1 + 4 + 2 + 83 + 3 + 91 + 478 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1428339147847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 531177216 + ... + 531179904.

Almost surely, 2^{1428339147840} is an apocalyptic number.

1428339147840 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 1428339147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904751437120).

1428339147840 is an abundant number, since it is smaller than the sum of its proper divisors (4381163726400).

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

1428339147840 is an equidigital number, since it uses as much as digits as its factorization.

1428339147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1428339147840 in words is "one trillion, four hundred twenty-eight billion, three hundred thirty-nine million, one hundred forty-seven thousand, eight hundred forty".