1428121213568 has 64 divisors (see below), whose sum is σ = 3254961412800. Its totient is φ = 611405279232.

The previous prime is 1428121213567. The next prime is 1428121213583. The reversal of 1428121213568 is 8653121218241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1428121213568³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1428121213567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6968 + ... + 1690056.

It is an arithmetic number, because the mean of its divisors is an integer number (50858772075).

Almost surely, 2^{1428121213568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428121213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627480706400).

1428121213568 is an abundant number, since it is smaller than the sum of its proper divisors (1826840199232).

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

1428121213568 is an equidigital number, since it uses as much as digits as its factorization.

1428121213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684057 (or 1684045 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The spelling of 1428121213568 in words is "one trillion, four hundred twenty-eight billion, one hundred twenty-one million, two hundred thirteen thousand, five hundred sixty-eight".