1427902660800 has 1008 divisors, whose sum is σ = 6355707351552. Its totient is φ = 295380172800.

The previous prime is 1427902660757. The next prime is 1427902660889. The reversal of 1427902660800 is 80662097241.

It is a happy number.

1427902660800 is a `hidden beast` number, since 1 + 427 + 90 + 2 + 6 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 258347637 + ... + 258353163.

Almost surely, 2^{1427902660800} is an apocalyptic number.

1427902660800 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 1427902660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177853675776).

1427902660800 is an abundant number, since it is smaller than the sum of its proper divisors (4927804690752).

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

1427902660800 is a wasteful number, since it uses less digits than its factorization.

1427902660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1427902660800 in words is "one trillion, four hundred twenty-seven billion, nine hundred two million, six hundred sixty thousand, eight hundred".