1291407360 has 104 divisors (see below), whose sum is σ = 4132195680. Its totient is φ = 344358912.

The previous prime is 1291407353. The next prime is 1291407361. The reversal of 1291407360 is 637041921.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291407361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50931 + ... + 71949.

Almost surely, 2^1291407360 is an apocalyptic number.

1291407360 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 1291407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066097840).

1291407360 is an abundant number, since it is smaller than the sum of its proper divisors (2840788320).

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

1291407360 is an equidigital number, since it uses as much as digits as its factorization.

1291407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21051 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1291407360 is about 35936.1567227215. The cubic root of 1291407360 is about 1088.9829640288.

The spelling of 1291407360 in words is "one billion, two hundred ninety-one million, four hundred seven thousand, three hundred sixty".