1278361824 has 96 divisors (see below), whose sum is σ = 3418601760. Its totient is φ = 418209792.

The previous prime is 1278361817. The next prime is 1278361829. The reversal of 1278361824 is 4281638721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278361829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340932 + ... + 1341884.

It is an arithmetic number, because the mean of its divisors is an integer number (35610435).

Almost surely, 2^1278361824 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 1278361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709300880).

1278361824 is an abundant number, since it is smaller than the sum of its proper divisors (2140239936).

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

1278361824 is a wasteful number, since it uses less digits than its factorization.

1278361824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 1278361824 is about 35754.1861045668. The cubic root of 1278361824 is about 1085.3036516234.

The spelling of 1278361824 in words is "one billion, two hundred seventy-eight million, three hundred sixty-one thousand, eight hundred twenty-four".