1281456438600 has 768 divisors, whose sum is σ = 4524702900480. Its totient is φ = 297901670400.

The previous prime is 1281456438589. The next prime is 1281456438629. The reversal of 1281456438600 is 68346541821.

It is a super-3 number, since 3×1281456438600³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1281456438600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1461181362 + ... + 1461182238.

It is an arithmetic number, because the mean of its divisors is an integer number (5891540235).

Almost surely, 2^{1281456438600} is an apocalyptic number.

1281456438600 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 1281456438600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262351450240).

1281456438600 is an abundant number, since it is smaller than the sum of its proper divisors (3243246461880).

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

1281456438600 is a wasteful number, since it uses less digits than its factorization.

1281456438600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 1281456438600 in words is "one trillion, two hundred eighty-one billion, four hundred fifty-six million, four hundred thirty-eight thousand, six hundred".