1296033440 has 96 divisors (see below), whose sum is σ = 3440900736. Its totient is φ = 457712640.

The previous prime is 1296033421. The next prime is 1296033449. The reversal of 1296033440 is 443306921.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1296033397 and 1296033406.

It is not an unprimeable number, because it can be changed into a prime (1296033449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34295 + ... + 61385.

It is an arithmetic number, because the mean of its divisors is an integer number (35842716).

Almost surely, 2^1296033440 is an apocalyptic number.

1296033440 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 1296033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720450368).

1296033440 is an abundant number, since it is smaller than the sum of its proper divisors (2144867296).

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

1296033440 is a wasteful number, since it uses less digits than its factorization.

1296033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27142 (or 27134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1296033440 is about 36000.4644414485. The cubic root of 1296033440 is about 1090.2817328582.

The spelling of 1296033440 in words is "one billion, two hundred ninety-six million, thirty-three thousand, four hundred forty".