1044125280 has 288 divisors, whose sum is σ = 4022796960. Its totient is φ = 244285440.

The previous prime is 1044125263. The next prime is 1044125359. The reversal of 1044125280 is 825214401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458224 + ... + 460496.

It is an arithmetic number, because the mean of its divisors is an integer number (13968045).

Almost surely, 2^1044125280 is an apocalyptic number.

1044125280 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 1044125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011398480).

1044125280 is an abundant number, since it is smaller than the sum of its proper divisors (2978671680).

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

1044125280 is a wasteful number, since it uses less digits than its factorization.

1044125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1044125280 is about 32312.9274439813. The cubic root of 1044125280 is about 1014.4972410405.

Adding to 1044125280 its reverse (825214401), we get a palindrome (1869339681).

It can be divided in two parts, 10441 and 25280, that added together give a square (35721 = 189²).

The spelling of 1044125280 in words is "one billion, forty-four million, one hundred twenty-five thousand, two hundred eighty".