1441249056 has 216 divisors, whose sum is σ = 4543861140. Its totient is φ = 430755840.

The previous prime is 1441249037. The next prime is 1441249067. The reversal of 1441249056 is 6509421441.

It can be written as a sum of positive squares in 6 ways, for example, as 114832656 + 1326416400 = 10716^2 + 36420^2 .

It is a super-2 number, since 2×1441249056² = 4154397682841782272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1441249056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6293550 + ... + 6293778.

Almost surely, 2^1441249056 is an apocalyptic number.

1441249056 is a gapful number since it is divisible by the number (16) 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 1441249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271930570).

1441249056 is an abundant number, since it is smaller than the sum of its proper divisors (3102612084).

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

1441249056 is a wasteful number, since it uses less digits than its factorization.

1441249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1441249056 is about 37963.7861125573. The cubic root of 1441249056 is about 1129.5696421607.

The spelling of 1441249056 in words is "one billion, four hundred forty-one million, two hundred forty-nine thousand, fifty-six".