1296007440 has 160 divisors (see below), whose sum is σ = 4944850176. Its totient is φ = 273438720.

The previous prime is 1296007439. The next prime is 1296007501. The reversal of 1296007440 is 447006921.

It is a happy 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, 7831 + ... + 51510.

Almost surely, 2^1296007440 is an apocalyptic number.

1296007440 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 1296007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472425088).

1296007440 is an abundant number, since it is smaller than the sum of its proper divisors (3648842736).

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

1296007440 is a wasteful number, since it uses less digits than its factorization.

1296007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59377 (or 59371 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1296007440 is about 36000.1033331850. The cubic root of 1296007440 is about 1090.2744420189.

The spelling of 1296007440 in words is "one billion, two hundred ninety-six million, seven thousand, four hundred forty".