1265744000 has 128 divisors (see below), whose sum is σ = 3169670400. Its totient is φ = 502656000.

The previous prime is 1265743951. The next prime is 1265744059. The reversal of 1265744000 is 4475621.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3823835 + ... + 3824165.

It is an arithmetic number, because the mean of its divisors is an integer number (24763050).

Almost surely, 2^1265744000 is an apocalyptic number.

1265744000 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 1265744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584835200).

1265744000 is an abundant number, since it is smaller than the sum of its proper divisors (1903926400).

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

1265744000 is an equidigital number, since it uses as much as digits as its factorization.

1265744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 1265744000 is about 35577.2961311002. The cubic root of 1265744000 is about 1081.7210784358.

The spelling of 1265744000 in words is "one billion, two hundred sixty-five million, seven hundred forty-four thousand".