1427967721216 has 36 divisors (see below), whose sum is σ = 3018025537632. Its totient is φ = 671984807936.

The previous prime is 1427967721183. The next prime is 1427967721217. The reversal of 1427967721216 is 6121277697241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427967721217) 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 3 ways as a sum of consecutive naturals, for example, 164054440 + ... + 164063143.

It is an arithmetic number, because the mean of its divisors is an integer number (83834042712).

Almost surely, 2^{1427967721216} is an apocalyptic number.

1427967721216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1427967721216 is an abundant number, since it is smaller than the sum of its proper divisors (1590057816416).

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

1427967721216 is an equidigital number, since it uses as much as digits as its factorization.

1427967721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328117616 (or 328117602 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 55.

The spelling of 1427967721216 in words is "one trillion, four hundred twenty-seven billion, nine hundred sixty-seven million, seven hundred twenty-one thousand, two hundred sixteen".