1281142896 has 160 divisors (see below), whose sum is σ = 3696192000. Its totient is φ = 379146240.

The previous prime is 1281142847. The next prime is 1281142939. The reversal of 1281142896 is 6982411821.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6437805 + ... + 6438003.

It is an arithmetic number, because the mean of its divisors is an integer number (23101200).

Almost surely, 2^1281142896 is an apocalyptic number.

1281142896 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 1281142896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848096000).

1281142896 is an abundant number, since it is smaller than the sum of its proper divisors (2415049104).

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

1281142896 is a wasteful number, since it uses less digits than its factorization.

1281142896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 1281142896 is about 35793.0565333557. The cubic root of 1281142896 is about 1086.0901064463.

The spelling of 1281142896 in words is "one billion, two hundred eighty-one million, one hundred forty-two thousand, eight hundred ninety-six".