1427160772800 has 1008 divisors, whose sum is σ = 6060616540160. Its totient is φ = 323561226240.

The previous prime is 1427160772783. The next prime is 1427160772801. The reversal of 1427160772800 is 82770617241.

1427160772800 is a `hidden beast` number, since 14 + 2 + 7 + 1 + 607 + 7 + 28 + 0 + 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 not an unprimeable number, because it can be changed into a prime (1427160772801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 345641136 + ... + 345645264.

Almost surely, 2^{1427160772800} is an apocalyptic number.

1427160772800 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 1427160772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030308270080).

1427160772800 is an abundant number, since it is smaller than the sum of its proper divisors (4633455767360).

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

1427160772800 is a wasteful number, since it uses less digits than its factorization.

1427160772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1427160772800 in words is "one trillion, four hundred twenty-seven billion, one hundred sixty million, seven hundred seventy-two thousand, eight hundred".