1296141264 has 400 divisors, whose sum is σ = 4407575040. Its totient is φ = 363813120.

The previous prime is 1296141263. The next prime is 1296141269. The reversal of 1296141264 is 4621416921.

1296141264 is a `hidden beast` number, since 1 + 29 + 614 + 12 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296141263) 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 79 ways as a sum of consecutive naturals, for example, 19345359 + ... + 19345425.

Almost surely, 2^1296141264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203787520).

1296141264 is an abundant number, since it is smaller than the sum of its proper divisors (3111433776).

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

1296141264 is a wasteful number, since it uses less digits than its factorization.

1296141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1296141264 is about 36001.9619465384. The cubic root of 1296141264 is about 1090.3119674890.

The spelling of 1296141264 in words is "one billion, two hundred ninety-six million, one hundred forty-one thousand, two hundred sixty-four".