1282721440 has 192 divisors, whose sum is σ = 4069336320. Its totient is φ = 369008640.

The previous prime is 1282721437. The next prime is 1282721443. The reversal of 1282721440 is 441272821.

It is an interprime number because it is at equal distance from previous prime (1282721437) and next prime (1282721443).

It is not an unprimeable number, because it can be changed into a prime (1282721443) by changing a digit.

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, 156156 + ... + 164164.

It is an arithmetic number, because the mean of its divisors is an integer number (21194460).

Almost surely, 2^1282721440 is an apocalyptic number.

1282721440 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 1282721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034668160).

1282721440 is an abundant number, since it is smaller than the sum of its proper divisors (2786614880).

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

1282721440 is a wasteful number, since it uses less digits than its factorization.

1282721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 1282721440 is about 35815.1007258112. The cubic root of 1282721440 is about 1086.5359940897.

The spelling of 1282721440 in words is "one billion, two hundred eighty-two million, seven hundred twenty-one thousand, four hundred forty".