1427406636672 has 384 divisors, whose sum is σ = 4383361382400. Its totient is φ = 444583157760.

The previous prime is 1427406636619. The next prime is 1427406636757. The reversal of 1427406636672 is 2766366047241.

1427406636672 is a `hidden beast` number, since 1 + 4 + 274 + 0 + 6 + 6 + 366 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503138038 + ... + 503140874.

It is an arithmetic number, because the mean of its divisors is an integer number (11415003600).

Almost surely, 2^{1427406636672} is an apocalyptic number.

1427406636672 is a gapful number since it is divisible by the number (12) 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 1427406636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191680691200).

1427406636672 is an abundant number, since it is smaller than the sum of its proper divisors (2955954745728).

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

1427406636672 is a wasteful number, since it uses less digits than its factorization.

1427406636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 1427406636672 in words is "one trillion, four hundred twenty-seven billion, four hundred six million, six hundred thirty-six thousand, six hundred seventy-two".