1293441264 has 160 divisors (see below), whose sum is σ = 4014624000. Its totient is φ = 397322496.

The previous prime is 1293441263. The next prime is 1293441299. The reversal of 1293441264 is 4621443921.

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 (1293441263) 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, 301567 + ... + 305825.

It is an arithmetic number, because the mean of its divisors is an integer number (25091400).

Almost surely, 2^1293441264 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 1293441264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007312000).

1293441264 is an abundant number, since it is smaller than the sum of its proper divisors (2721182736).

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

1293441264 is a wasteful number, since it uses less digits than its factorization.

1293441264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4320 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1293441264 is about 35964.4444416982. Note that the first 5 decimals coincide. The cubic root of 1293441264 is about 1089.5543626211.

The spelling of 1293441264 in words is "one billion, two hundred ninety-three million, four hundred forty-one thousand, two hundred sixty-four".