1427980409856 has 2112 divisors, whose sum is σ = 5897718144000. Its totient is φ = 342372925440.

The previous prime is 1427980409827. The next prime is 1427980409873. The reversal of 1427980409856 is 6589040897241.

1427980409856 is a `hidden beast` number, since 1 + 4 + 2 + 79 + 80 + 409 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1427980409793 and 1427980409802.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 109844646906 + ... + 109844646918.

Almost surely, 2^{1427980409856} is an apocalyptic number.

1427980409856 is a gapful number since it is divisible by the number (16) 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 1427980409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948859072000).

1427980409856 is an abundant number, since it is smaller than the sum of its proper divisors (4469737734144).

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

1427980409856 is an frugal number, since it uses more digits than its factorization.

1427980409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1427980409856 in words is "one trillion, four hundred twenty-seven billion, nine hundred eighty million, four hundred nine thousand, eight hundred fifty-six".